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Relevant bibliographies by topics / Gluons and lattices

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Academic literature on the topic 'Gluons and lattices'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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Journal articles on the topic "Gluons and lattices"

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Steinhauser, Marc, André Sternbeck, Björn Wellegehausen, and Andreas Wipf. "Spectroscopy of four-dimensional N = 1 supersymmetric SU(3) Yang-Mills theory." EPJ Web of Conferences 175 (2018): 08022. http://dx.doi.org/10.1051/epjconf/201817508022.

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Supersymmetric gauge theories are an important building block for extensions of the standard model. As a first step towards Super-QCD we investigate the pure gauge sector with gluons and gluinos on the lattice, in particular the low energy mass spectrum: meson-like gluinoballs, gluino-glueballs and pure glueballs. We report on some first calculations performed with clover improved Wilson fermions on rather small lattices. The supersymmetric continuum limit and particle masses are discussed and compared to predictions from effective field theory.

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Stoddart, J. C. "Quarks, Gluons and Lattices: Cambridge Monographs on Mathematical Physics." Physics Bulletin 37, no. 5 (May 1986): 225. http://dx.doi.org/10.1088/0031-9112/37/5/031.

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ANTROPOV, S., M. BORDAG, V. DEMCHIK, and V. SKALOZUB. "LONG RANGE CHROMOMAGNETIC FIELDS AT HIGH TEMPERATURE." International Journal of Modern Physics A 26, no. 27n28 (November 10, 2011): 4831–43. http://dx.doi.org/10.1142/s0217751x11054747.

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The magnetic mass of neutral gluons in Abelian chromomagnetic field at high temperature is calculated in SU(2) gluodynamics. It is noted that such fields are spontaneously generated at high temperature. The mass is computed either from the Schwinger–Dyson equation accounting for the one-loop polarization tensor or in Monte Carlo simulations on a lattice. In latter case, an average magnetic flux penetrating a plaquette is measured for a number of lattices. Both calculations are in agreement with each other and result in zero magnetic mass. Some applications of the results obtained are discussed.

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CORNWALL, JOHN M. "POSITIVITY VIOLATIONS IN QCD." Modern Physics Letters A 28, no. 38 (December 4, 2013): 1330035. http://dx.doi.org/10.1142/s0217732313300358.

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Both lattice simulations and theoretical studies show that the spectral function of the gluon propagator of QCD (in various gauges, as well as for the gauge-invariant Pinch Technique, or PT, propagator) is not nonnegative everywhere, although it should be if it has a physical interpretation as in QED. Theory says moreover that the non-positive spectral function of the Landau-gauge or of the PT gluon propagator is further constrained to obey a superconvergence relation (the integral of the spectral function vanishes). We review the theoretical and lattice evidence for violation of positivity as well as various interpretations of this violation, and consider methods for checking superconvergence on the lattice (so far undone). The most common interpretation is that positivity violation implies confinement of gluons, so the gluon propagator does not describe processes with physical gluons. Another more direct and gauge-invariant interpretation arises from the PT: Asymptotic freedom alone demands non-positivity and superconvergence.

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Costa, Marios, and Haralambos Panagopoulos. "Renormalization of Supersymmetric QCD on the Lattice." EPJ Web of Conferences 175 (2018): 14001. http://dx.doi.org/10.1051/epjconf/201817514001.

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We perform a pilot study of the perturbative renormalization of a Supersymmetric gauge theory with matter fields on the lattice. As a specific example, we consider Supersymmetric N=1 QCD (SQCD). We study the self-energies of all particles which appear in this theory, as well as the renormalization of the coupling constant. To this end we compute, perturbatively to one-loop, the relevant two-point and three-point Green’s functions using both dimensional and lattice regularizations. Our lattice formulation involves theWilson discretization for the gluino and quark fields; for gluons we employ the Wilson gauge action; for scalar fields (squarks) we use naive discretization. The gauge group that we consider is SU(Nc), while the number of colors, Nc, the number of flavors, Nf, and the gauge parameter, α, are left unspecified. We obtain analytic expressions for the renormalization factors of the coupling constant (Zg) and of the quark (ZΨ), gluon (Zu), gluino (Zλ), squark (ZA±), and ghost (Zc) fields on the lattice. We also compute the critical values of the gluino, quark and squark masses. Finally, we address the mixing which occurs among squark degrees of freedom beyond tree level: we calculate the corresponding mixing matrix which is necessary in order to disentangle the components of the squark field via an additional finite renormalization.

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JI, XIANGDONG, and YONG ZHAO. "PHYSICS OF GLUON HELICITY." International Journal of Modern Physics: Conference Series 25 (January 2014): 1460028. http://dx.doi.org/10.1142/s2010194514600283.

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The total gluon helicity in a polarized proton is shown to be a matrix element of a gauge-invariant but nonlocal, frame-dependent gluon spin operator [Formula: see text] in the large momentum limit. The operator [Formula: see text] is fit for the calculation of the total gluon helicity in lattice QCD. This calculation also implies that parton physics can be studied through the large momentum limit of frame-dependent, equal-time correlation functions of quarks and gluons.

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Fan, Zhouyou, Rui Zhang, and Huey-Wen Lin. "Nucleon gluon distribution function from 2 + 1 + 1-flavor lattice QCD." International Journal of Modern Physics A 36, no. 13 (April 28, 2021): 2150080. http://dx.doi.org/10.1142/s0217751x21500809.

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The parton distribution functions (PDFs) provide process-independent information about the quarks and gluons inside hadrons. Although the gluon PDF can be obtained from a global fit to experimental data, it is not constrained well in the large-[Formula: see text] region. Theoretical gluon-PDF studies are much fewer than those of the quark PDFs. In this work, we present the first lattice-QCD results that access the [Formula: see text]-dependence of the gluon unpolarized PDF of the nucleon. The lattice calculation is carried out with nucleon momenta up to 2.16 GeV, lattice spacing [Formula: see text] fm, and with valence pion masses of 310 and 690 MeV. We use reduced Ioffe-time distributions to cancel the renormalization and implement a one-loop perturbative pseudo-PDF gluon matching. We neglect mixing of the gluon operator with the quark singlet sector. Our matrix-element results in coordinate space are consistent with those obtained from the global PDF fits of CT18 NNLO and NNPDF3.1 NNLO. Our fitted gluon PDFs at both pion masses are consistent with global fits in the [Formula: see text] region.

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CUI, J. Y., and J. M. WU. "THE BOUND STATE EQUATION FOR TWO GLUONS AND ITS SOLUTION." International Journal of Modern Physics A 14, no. 13 (May 20, 1999): 2117–32. http://dx.doi.org/10.1142/s0217751x9900107x.

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We derive the bound state equation for two gluons in relativistic quantum field theory, i.e. the Bethe–Salpeter (BS) equation for two gluons. To solve it, we choose the kernel as the sum of a one-gluon exchange potential, a contact interaction and a linear confining potential. Under instantaneous approximation, this BS equation is solved numerically. The spectrum and the BS wave function of the glueballs are obtained in this framework. The numerical results are in agreement with that of recent lattice calculation.

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Villegas, Kristian Hauser, and Jose Perico Esguerra. "Lattice gauge theory and gluon color-confinement in curved spacetime." Modern Physics Letters A 30, no. 05 (February 3, 2015): 1550020. http://dx.doi.org/10.1142/s0217732315500200.

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The lattice gauge theory (LGT) for curved spacetime is formulated. A discretized action is derived for both gluon and quark fields which reduces to the generally covariant form in the continuum limit. Using the Wilson action, it is shown analytically that for a general curved spacetime background, two propagating gluons are always color-confined. The fermion-doubling problem is discussed in the specific case of Friedman–Robertson–Walker (FRW) metric. Last, we discussed possible future numerical implementation of lattice QCD in curved spacetime.

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NAKAGAWA, Y., A. NAKAMURA, T. SAITO, and H. TOKI. "CONFINING TIME-LIKE GLUON AND CONFINED SPATIAL GLUONS IN COULOMB GAUGE QCD." Modern Physics Letters A 23, no. 27n30 (September 30, 2008): 2352–55. http://dx.doi.org/10.1142/s0217732308029368.

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We investigate the Gribov-Zwanziger scenario in Coulomb gauge QCD using a SU(3) quenched lattice gauge simulation. The ghost propagator diverges in the infrared limit stronger than the free ghost propagator, and the ghost degree of freedom plays a central role in the confinement mechanism in the Coulomb gauge. The infrared divergent ghost dressing function results in the confining color-Coulomb instantaneous interaction. The equal-time transverse gluon propagator is suppressed in the infrared region. Therefore, in the Coulomb gauge, the instantaneous interaction mediated by time-like gluons is responsible for the confining force, and the would-be physical gluons are confined in hadrons.

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Dissertations / Theses on the topic "Gluons and lattices"

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Perantonis, S. J. "Model calculations in quantum chromodynamics and other field theories." Thesis, University of Oxford, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.379929.

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Yamamoto, Arata. "Lattice QCD Anatomy via the Energy-Momentum Component of Gluons." 京都大学 (Kyoto University), 2011. http://hdl.handle.net/2433/142379.

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Bonnet, Frédéric D. R. "Improved actions in lattice QCD /." Title page, contents and introduction only, 2001. http://web4.library.adelaide.edu.au/theses/09PH/09phb717.pdf.

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Bowman, Patrick Oswald. "On improvement in the study of the lattice gluon propagator /." Title page, contents and abstract only, 2000. http://web4.library.adelaide.edu.au/theses/09PH/09phb787.pdf.

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Hudspith, Renwick. "Gauge fixed gluonic observables and neutral kaon mixing on the lattice." Thesis, University of Edinburgh, 2013. http://hdl.handle.net/1842/8269.

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This thesis presents gauge fixed gluonic observable and neutral Kaon mixing matrix element measurements using nf=2+1 Domain Wall Fermion (DWF) configurations. These were generated with the Iwasaki gauge action by the RBC and UKQCD collaborations. Results from the first measurement of the QCD strong coupling with these ensembles using the triple gluon vertex are shown. We find that while a very accurate measurement of the coupling is possible using this technique, the systematic error from the perturbative matching at current lattice scales is large. We also discuss the utilisation of this method as a probe for possible Technicolor theories. The calculation of the QCD strong coupling constant from the triple gluon vertex required an implementation of a fast code to fix lattice gauge configurations. I provide details on my implementation of a parallel and optimised Fourier-accelerated algorithm for both Landau and Coulomb gauge fixing. I include the first calculation of the highly accurate W0-scale using these ensembles, allowing for percent-level scale setting. I show results from a wide variety of smearing methods and present the first gluonic measurement of different smearing radii. This thesis also details the first nf=2+1 measurement of the BSM neutral Kaon mixing renormalised matrix elements from lattice simulations with almost exact chiral symmetry in the valence sector and the sea.

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Aouane, Rafik. "Gluon and ghost propagator studies in lattice QCD at finite temperature." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät I, 2013. http://dx.doi.org/10.18452/16735.

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Die im infraroten Impulsbereich der Quantenchromodynamik (QCD) berechneten Gluon- und Ghost-Propagatoren spielen eine große Rolle für das sogenannte Confinement der Quarks und Gluonen. Sie sind Gegenstand intensiver Foschungen dank nicht-perturbativer Methoden basierend auf Dyson-Schwinger- (DS) und funktionalen Renormierungsgruppen-Gleichungen (FRG). Darüber hinaus sollte es deren Verhalten bei endlichen Temperaturen erlauben, den chiralen und Deconfinement-Phasenübergang bzw. das Crossover in der QCD besser aufzuklären. Unser Zugang beruht auf der gitter-diskretisierten QCD (LQCD), die es als ab-initio-Methode gestattet, verschiedenste störungstheoretisch nicht zugängliche QCD-Observablen der hadronischen Welt zu berechnen. Wir untersuchen das Temperaturverhalten der Gluon- und Ghost-Propagatoren in der Landau-Eichung für die reine Gluodynamik und die volle QCD. Für den Gluon-Propagator berechnen wir deren longitudinale (DL) sowie transversale (DT) Komponenten. Ziel ist es, Datensätze in Form von Fit-Formeln zu liefern, welche als Input für die DS- (oder FRG-) Gleichungen verwendet werden können. Wir beschäftigen uns mit der vollen (Nf=2) LQCD unter Verwendung der sogenannten twisted mass Fermiondiskretisierung. Von der tmfT-Kollaboration wurden uns dafür Eichfeldkonfigurationen für Temperaturen im Crossover-Bereich sowie jeweils für drei fixierte Pion-Massenwerte im Intervall [300, 500] MeV bereitgestellt. Schließlich berechnen wir innerhalb der reinen SU(3) Eichtheorie (bei T=0) den Landau Gluon-Propagator unter Verwendung verschiedener Eichfixierungskriterien. Unser Ziel ist es, den Einfluss von Eich-Kopien mit minimalen (nicht-trivialen) Eigenwerten des Faddeev-Popov-Operators zu verstehen. Eine solche Studie soll klären, wie Gribov-Kopien das Verhalten der Gluon- und Ghost-Propagatoren im infraroten Bereich prinzipiell beeinflussen.
Gluon and ghost propagators in quantum chromodynamics (QCD) computed in the infrared momentum region play an important role to understand quark and gluon confinement. They are the subject of intensive research thanks to non-perturbative methods based on Dyson-Schwinger (DS) and functional renormalization group (FRG) equations. Moreover, their temperature behavior might also help to explore the chiral and deconfinement phase transition or crossover within QCD at non-zero temperature. Our prime tool is the lattice discretized QCD (LQCD) providing a unique ab-initio non-perturbative approach to deal with the computation of various observables of the hadronic world. We investigate the temperature dependence of Landau gauge gluon and ghost propagators in pure gluodynamics and in full QCD. Regarding the gluon propagator, we compute its longitudinal DL as well its transversal DT components. The aim is to provide a data set in terms of fitting formulae which can be used as input for DS (or FRG) equations. We deal with full (Nf=2) LQCD with the twisted mass fermion discretization. We employ gauge field configurations provided by the tmfT collaboration for temperatures in the crossover region and for three fixed pion mass values in the range [300,500] MeV. Finally, within SU(3) pure gauge theory (at T=0) we compute the Landau gauge gluon propagator according to different gauge fixing criteria. Our goal is to understand the influence of gauge copies with minimal (non-trivial) eigenvalues of the Faddeev-Popov operator.

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Schulze, Robert. "From hot lattice QCD to cold quark stars." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2011. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-65426.

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A thermodynamic model of the quark-gluon plasma using quasiparticle degrees of freedom based on the hard thermal loop self-energies is introduced. It provides a connection between an established phenomenological quasiparticle model – following from the former using a series of approximations – and QCD – from which the former is derived using the Cornwall-Jackiw-Tomboulis formalism and a special parametrization of the running coupling. Both models allow for an extrapolation of first-principle QCD results available at small chemical potentials using Monte-Carlo methods on the lattice to large net baryon densities with remarkably similar results. They are used to construct equations of state for heavy-ion collider experiments at SPS and FAIR as well as quark and neutron star interiors. A mixed-phase construction allows for a connection of the SPS equation of state to the hadron resonance gas. An extension to the weak sector is presented as well as general stability and binding arguments for compact stellar objects are developed. From the extrapolation of the most recent lattice results [Baz09, Bor10b] the existence of bound pure quark stars is not suggested. However, quark matter might exist in a hybrid phase in cores of neutron stars.

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Sternbeck, André. "The infrared behavior of lattice QCD green's functions." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät I, 2006. http://dx.doi.org/10.18452/15527.

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Diese Arbeit untersucht im Rahmen der Gittereichtheorie verschiedene Aspekte der QCD in der Landau-Eichung, insbesondere solche, die mit den Gluon- und Geist-Propagatoren bei kleinen Impulsen zusammenhängen. Die Eichgruppe ist SU(3). Wir analysieren den Einfluss unterschiedlicher systematischer Effekte. Wir zeigen, dass der Formfaktor des Geist-Propagators bei kleinen Impulsen systematisch von der Wahl der Eichkopien (Gribov-Kopien) abhängt. Hingegen können wir einen solchen Einfluss auf den Gluon-Propagator nicht feststellen. Ebenfalls wird die Verteilung der kleinsten Eigenwerte des Faddeev-Popov-Operators durch die Wahl der Eichkopien beeinflusst. Wir zeigen außerdem, dass der Einfluss dynamischer Wilson-Fermionen auf den Geist-Propagator für die untersuchten Impulse vernachlässigbar ist. Für den Gluon-Propagator können wir jedoch einen deutlichen Einfluss für große und mittlere Impulse feststellen. Zusätzlich wurden beide Propagatoren auf asymmetrischen Gittern gemessen und mit den Daten von symmetrischen Gittern verglichen. Wir vergleichen unsere Ergebnisse mit denen aus Studien von Dyson-Schwinger-Gleichungen für den Gluon- und Geist-Propagator. Wir zeigen, dass das in dieser Arbeit gefundene Niedrigimpulsverhalten im Einklang mit verschiedenen Kriterien für Confinement (Einschluss von Farbladungen) ist. Wir berechnen die laufende Kopplung, die sich als eine renormierungsgruppeninvariante Kombination der Gluon- und Geist-Formfaktoren ergibt. Unsere Ergebnisse zeigen, dass im Bereich kleiner Impulse die laufende Kopplung kleiner wird und so vermutlich kein endlicher Infrarot-Fixpunkt im Grenzfall Impuls Null angestrebt wird. Wir präsentieren außerdem eine erste nichtstörungstheoretische Berechnung der Renormierungskonstante des SU(3) Ghost-Gluon-Vertex. Wir berichten über Untersuchungen zu spektralen Eigenschaften des Faddeev-Popov-Operators. Dazu haben wir eine Reihe der kleinsten Eigenwerte und Eigenvektoren dieses Operators berechnet.
Within the framework of lattice QCD we investigate different aspects of QCD in Landau gauge using Monte Carlo simulations. In particular, we focus on the low momentum behavior of gluon and ghost propagators. The gauge group is SU(3). Different systematic effects on the gluon and ghost propagators are studied. We demonstrate the ghost dressing function to systematically depend on the choice of Gribov copies at low momentum, while the influence on the gluon dressing function is not resolvable. Also the eigenvalue distribution of the Faddeev-Popov operator is sensitive to Gribov copies. We show that the influence of dynamical Wilson fermions on the ghost propagator is negligible at the momenta available to us. On the contrary, fermions affect the gluon propagator at large and intermediate momenta. In addition, we analyze data for both propagators obtained on asymmetric lattices and compare these results with data obtained on symmetric lattices. We compare our data with results from studies of Dyson-Schwinger equations for the gluon and ghost propagators. We demonstrate that the infrared behavior of both propagators, as found in this thesis, is consistent with different criteria for confinement. However, the running coupling constant, given as a renormalization-group-invariant combination of the gluon and ghost dressing functions, does not expose a finite infrared fixed point. Rather the data are in favor of an infrared vanishing coupling constant. We also report on a first nonperturbative computation of the SU(3) ghost-gluon-vertex renormalization constant. We present results of an investigation of the spectral properties of the Faddeev-Popov operator. For this we have calculated the low-lying eigenvalues and eigenmodes of the Faddeev-Popov operator.

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Mages, Simon Wolfgang [Verfasser], and Andreas [Akademischer Betreuer] Schäfer. "Properties of the Quark Gluon Plasma from Lattice QCD / Simon Wolfgang Mages. Betreuer: Andreas Schäfer." Regensburg : Universitätsbibliothek Regensburg, 2015. http://d-nb.info/1068056088/34.

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Iritani, Takumi. "Lattice QCD analysis for non-perturbative gluon properties from the Landau gauge to the Coulomb gauge." 京都大学 (Kyoto University), 2013. http://hdl.handle.net/2433/175110.

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Books on the topic "Gluons and lattices"

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Creutz, Michael. Quarks, gluons, and lattices. Cambridge [Cambridgeshire]: Cambridge University Press, 1986.

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Succi, Sauro. Relativistic Lattice Boltzmann (RLB). Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199592357.003.0034.

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Relativistic hydrodynamics and kinetic theory play an increasing role in many areas of modern physics. Besides their traditional arenas, astrophysics and cosmology, relativistic fluids have recently attracted much attention also within the realm of high-energy and condensed matter physics, mostly in connection with quark-gluon plasmas experiments in heavy-ion colliders and electronic transport in graphene. This chapter describes the extension of the Lattice Boltzmann formalism to the case of relativistic fluids.

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Succi, Sauro. The Lattice Boltzmann Equation. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199592357.001.0001.

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Over the past near three decades, the Lattice Boltzmann method has gained a prominent role as an efficient computational method for the numerical simulation of a wide variety of complex states of flowing matter across a broad range of scales, from fully developed turbulence, to multiphase micro-flows, all the way down to nano-biofluidics and lately, even quantum-relativistic subnuclear fluids. After providing a self-contained introduction to the kinetic theory of fluids and a thorough account of its transcription to the lattice framework, this book presents a survey of the major developments which have led to the impressive growth of the Lattice Boltzmann across most walks of fluid dynamics and its interfaces with allied disciplines, such as statistical physics, material science, soft matter and biology. This includes recent developments of Lattice Boltzmann methods for non-ideal fluids, micro- and nanofluidic flows with suspended bodies of assorted nature and extensions to strong non-equilibrium flows beyond the realm of continuum fluid mechanics. In the final part, the book also presents the extension of the Lattice Boltzmann method to quantum and relativistic fluids, in an attempt to match the major surge of interest spurred by recent developments in the area of strongly interacting holographic fluids, such as quark-gluon plasmas and electron flows in graphene. It is hoped that this book may provide a source information and possibly inspiration to a broad audience of scientists dealing with the physics of classical and quantum flowing matter across many scales of motion.

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Book chapters on the topic "Gluons and lattices"

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Wittig, Hartmut. "QCD on the Lattice." In Particle Physics Reference Library, 137–262. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-38207-0_5.

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AbstractSince Wilson’s seminal papers of the mid-1970s, the lattice approach to Quantum Chromodynamics has become increasingly important for the study of the strong interaction at low energies, and has now turned into a mature and established technique. In spite of the fact that the lattice formulation of Quantum Field Theory has been applied to virtually all fundamental interactions, it is appropriate to discuss this topic in a chapter devoted to QCD, since by far the largest part of activity is focused on the strong interaction. Lattice QCD is, in fact, the only known method which allows ab initio investigations of hadronic properties, starting from the QCD Lagrangian formulated in terms of quarks and gluons.

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Ynduráin, Francisco J. "Lattice QCD." In The Theory of Quark and Gluon Interactions, 313–46. Berlin, Heidelberg: Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/978-3-662-03932-8_9.

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Ynduráin, F. J. "Nonperturbative Solutions. Lattice QCD." In The Theory of Quark and Gluon Interactions, 241–84. Berlin, Heidelberg: Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-662-02940-4_8.

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Oliveira, O., A. G. Duarte, D. Dudal, and P. J. Silva. "Gluon and Ghost Dynamics from Lattice QCD." In Light Cone 2016, 71–78. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-65732-5_11.

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Mandula, J. E., and M. Ogilvie. "The Gluon is Massive: A Lattice Calculation of the Gluon Propagator in the Landau Gauge." In NATO ASI Series, 211–21. Boston, MA: Springer US, 1987. http://dx.doi.org/10.1007/978-1-4613-1909-2_23.

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Day, Alan, and Ralph Freese. "The Role of Gluing Constructions in Modular Lattice Theory." In The Dilworth Theorems, 251–60. Boston, MA: Birkhäuser Boston, 1990. http://dx.doi.org/10.1007/978-1-4899-3558-8_24.

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Ding, Heng-Tong, Frithjof Karsch, and Swagato Mukherjee. "Thermodynamics of Strong-Interaction Matter from Lattice QCD." In Quark–Gluon Plasma 5, 1–65. WORLD SCIENTIFIC, 2016. http://dx.doi.org/10.1142/9789814663717_0001.

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Karsch, F., and E. Laermann. "THERMODYNAMICS AND IN-MEDIUM HADRON PROPERTIES FROM LATTICE QCD." In Quark–Gluon Plasma 3, 1–59. WORLD SCIENTIFIC, 2004. http://dx.doi.org/10.1142/9789812795533_0001.

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DeTAR, CARLETON. "QUARK GLUON PLASMA IN NUMERICAL SIMULATIONS OF LATTICE QCD." In Quark-Gluon Plasma 2, 1–50. WORLD SCIENTIFIC, 1995. http://dx.doi.org/10.1142/9789812830661_0001.

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Zinn-Justin, Jean. "Quantum chromodynamics: A non-Abelian gauge theory." In From Random Walks to Random Matrices, 209–36. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198787754.003.0013.

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Chapter 13 is devoted to some aspects of quantum chromodynamics (QCD), the part of the Standard Model of particle physics responsible for strong interactions and based on an SU(3) gauge symmetry (the colour group) and gluon gauge fields. First, the geometry of non–Abelian gauge theories, based on parallel transport, is recalled. This leads naturally to the construction of lattice gauge theories with link variables and a plaquette action. The lattice model gives a hint of confinement. QCD is quantized in the temporal of Weyl gauge. Its renormalization involves the BRST symmetry. Its renormalization group properties with asymptotic freedom are emphasized. The infinite degeneracy of the semi–classical ground state can be associated to a winding number. Barrier penetration effects, related to the existence of instantons, lead to the existence of theta vacua and the problem of strong CP violation. Other issues considered are chiral symmetry and axial anomaly.

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Conference papers on the topic "Gluons and lattices"

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Suganuma, Hideo, Takahiro M. Doi, and Takumi Iritani. "Analytical Relation between the Polyakov Loop and the Dirac Eigenvalues in QCD on Temporally Odd-Number Lattices." In From quarks and gluons to hadronic matter: A bridge too far? Trieste, Italy: Sissa Medialab, 2014. http://dx.doi.org/10.22323/1.193.0042.

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Rizzi, Matteo. "Quantum simulation of gauge potentials with cold atoms in optical lattices: a tunable platform for relativistic fermions and axions." In From quarks and gluons to hadronic matter: A bridge too far? Trieste, Italy: Sissa Medialab, 2014. http://dx.doi.org/10.22323/1.193.0036.

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Suganuma, Hideo. "Lattice QCD Analysis for Gluons." In International Workshop on QCD Green’s Functions, Confinement and Phenomenology. Trieste, Italy: Sissa Medialab, 2010. http://dx.doi.org/10.22323/1.087.0044.

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Kutak, Krzysztof. "Gluon saturation and gluon densities." In The 33rd International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2016. http://dx.doi.org/10.22323/1.251.0126.

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Koma, Yoshiaki, and Miho Koma. "The static potential from the selected intermediate states of gluons." In 31st International Symposium on Lattice Field Theory LATTICE 2013. Trieste, Italy: Sissa Medialab, 2014. http://dx.doi.org/10.22323/1.187.0469.

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Lucini, Biagio. "Glueballs from the Lattice." In From quarks and gluons to hadronic matter: A bridge too far? Trieste, Italy: Sissa Medialab, 2014. http://dx.doi.org/10.22323/1.193.0023.

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Creutz, Michael. "Chiral symmetry and lattice fermions." In From quarks and gluons to hadronic matter: A bridge too far? Trieste, Italy: Sissa Medialab, 2014. http://dx.doi.org/10.22323/1.193.0009.

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Ratti, Claudia, Szabolcs Borsanyi, Zoltan Fodor, Sandor D. Katz, Stefan Krieg, and Kalman Szabo. "Freeze-out parameters: lattice meets experiment." In From quarks and gluons to hadronic matter: A bridge too far? Trieste, Italy: Sissa Medialab, 2014. http://dx.doi.org/10.22323/1.193.0033.

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Saito, Takuya. "Infrared gluons in the stochastic quantization approach." In The XXVI International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2009. http://dx.doi.org/10.22323/1.066.0266.

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Suganuma, Hideo, Takumi Iritani, Arata Yamamoto, and Hideaki Iida. "Lattice QCD Study for Gluon Propagator and Gluon Spectral Function." In The XXVIII International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2011. http://dx.doi.org/10.22323/1.105.0289.

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