Relevant bibliographies by topics / Quantum chromodynamics; Abelian projection

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Quantum chromodynamics; Abelian projection'

Author: Grafiati
Published: 4 June 2021
Last updated: 14 February 2022

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Journal articles on the topic "Quantum chromodynamics; Abelian projection"

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Shinohara, Toru. "Renormalizable Abelian-Projected Effective Gauge Theory Derived from Quantum Chromodynamics II." Modern Physics Letters A 18, no. 20 (June 28, 2003): 1403–12. http://dx.doi.org/10.1142/s0217732303011198.

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In the previous paper,1 we derived the Abelian projected effective gauge theory as a low energy effective theory of the SU (N) Yang–Mills theory by adopting the maximal Abelian gauge. At that time, we have demonstrated the multiplicative renormalizability of the propagators for the diagonal gluon and the dual Abelian antisymmetric tensor field. In this paper, we show the multiplicative renormalizability of the Green's functions also for the off-diagonal gluon. Moreover, we complement the previous results by calculating the anomalous dimension and the renormalization group functions which are undetermined in the previous paper.
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Kondo, K. I., and T. Shinohara. "Renormalizable Abelian-Projected Effective Gauge Theory Derived from Quantum Chromodynamics." Progress of Theoretical Physics 105, no. 4 (April 1, 2001): 649–65. http://dx.doi.org/10.1143/ptp.105.649.

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Nishijima, K. "Renormalization Group and Color Confinement." International Journal of Modern Physics B 12, no. 12n13 (May 30, 1998): 1355–64. http://dx.doi.org/10.1142/s0217979298000764.

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Aste, Andreas. "Comment on "A simple explanation of the nonappearance of physical gluons and quarks"." Canadian Journal of Physics 81, no. 6 (June 1, 2003): 889–91. http://dx.doi.org/10.1139/p03-056.

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In a recent paper by Johan Hansson it is claimed that the nonappearance of quarks and gluons as physical particles is an automatic result of the non-Abelian nature of the color interaction in quantum chromodynamics. It is shown that the arguments given by Hansson are insufficient to support his claim by giving simple counter arguments. PACS No.: 11.10.–z
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Creutz, Michael. "QCD beyond diagrams." International Journal of Modern Physics A 36, no. 21 (July 30, 2021): 2130012. http://dx.doi.org/10.1142/s0217751x2130012x.

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Quantum chromodynamics (QCD), the theory of the strong interactions, involves quarks interacting with non-Abelian gluon fields. This theory has many features that are difficult to impossible to see in conventional diagrammatic perturbation theory. This includes quark confinement, mass generation and chiral symmetry breaking. This paper is a colloquium level overview of the framework for understanding how these effects come about.
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Rana, J. M. S., H. C. Chandola, and B. S. Rajput. "The quark confinement in extended gauge theory." Canadian Journal of Physics 69, no. 12 (December 1, 1991): 1441–46. http://dx.doi.org/10.1139/p91-213.

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To investigate the possible physical implications of the topological structure of non-Abelian dyons in connection with the issue of quark confinement in quantum chromodynamics (QCD), extended gauge theory is formulated in SU(2) and SU(3) gauge groups from the corresponding restricted chromodynamics (RCD) by reactivating the suppressed dynamical degrees of freedom and constructing the gauge potential in terms of the binding gluons (the RCD piece) and the valence gluons (the reactivated piece). It is shown that in this extended QCD, the confinement mechanism of the corresponding RCD remains intact. The physical spectrum contains color-singlet generalized electric glueballs made of valence gluon pairs as well as the generalized magnetic glueballs as massive collective modes of the condensed vacuum.
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Tainov, V. A. "DOMAIN WALL NETWORK AS QCD VACUUM: CORRELATION FUNCTIONS AND CONFINEMENT OF STATIC QUARKS." Bulletin of Dubna International University for Nature, Society, and Man. Series: Natural and engineering sciences, no. 4 (45) (December 30, 2019): 38–47. http://dx.doi.org/10.37005/1818-0744-2019-4-38-47.

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Within the domain model of QCD vacuum the properties of a statistical ensemble of almost everywhere homogeneous Abelian (anti-)self-dual gluon fields representing the physical vacuum of quantum chromodynamics are investigated. The two-point correlation function of the topological charge density is calculated and the topological susceptibility is found. It is shown that such vacuum fields ensure the implementation of the area law for the Wilson loop, i.e. the confinement of static quarks.
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Yang, Weihua. "Parity-odd parton distribution functions from 𝜃-vacuum." International Journal of Modern Physics A 34, no. 26 (September 20, 2019): 1950145. http://dx.doi.org/10.1142/s0217751x19501458.

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Quantum chromodynamics is a fundamental non-Abelian gauge theory of strong interactions. The physical quantum chromodynamics vacuum state is a linear superposition of the [Formula: see text]-vacua states with different topological numbers. Because of the configuration of the gauge fields, the tunneling events can induce the local parity-odd domains. Those interactions that occur in these domains can be affected by these effects. Considering the hadron (nucleon) system, we introduce the parity-odd parton distribution functions in order to describe the parity-odd structures inside the hadron in this paper. We obtain 8 parity-odd parton distribution functions at leading twist for spin-1/2 hadrons and present their properties. By introducing the parity-odd quark–quark correlator, we find the parity-odd effects vanish from the macroscopic point of view. In this paper, we consider the high energy semi-inclusive deeply inelastic scattering process to investigate parity-odd effects by calculating the spin asymmetries.
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Suganuma, Hideo, and Hiroki Ohata. "Local Correlation among the Chiral Condensate, Monopoles, and Color Magnetic Fields in Abelian Projected QCD." Universe 7, no. 9 (August 28, 2021): 318. http://dx.doi.org/10.3390/universe7090318.

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Using the lattice gauge field theory, we study the relation among the local chiral condensate, monopoles, and color magnetic fields in quantum chromodynamics (QCD). First, we investigate idealized Abelian gauge systems of (1) a static monopole–antimonopole pair and (2) a magnetic flux without monopoles, on a four-dimensional Euclidean lattice. In these systems, we calculate the local chiral condensate on quasi-massless fermions coupled to the Abelian gauge field, and find that the chiral condensate is localized in the vicinity of the magnetic field. Second, using SU(3) lattice QCD Monte Carlo calculations, we investigate Abelian projected QCD in the maximally Abelian gauge, and find clear correlation of distribution similarity among the local chiral condensate, monopoles, and color magnetic fields in the Abelianized gauge configuration. As a statistical indicator, we measure the correlation coefficient r, and find a strong positive correlation of r≃0.8 between the local chiral condensate and an Euclidean color-magnetic quantity F in Abelian projected QCD. The correlation is also investigated for the deconfined phase in thermal QCD. As an interesting conjecture, like magnetic catalysis, the chiral condensate is locally enhanced by the strong color-magnetic field around the monopoles in QCD.
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Deguchi, Shinichi, and Yousuke Kokubo. "Abelian Projection of Massive SU(2) Yang–Mills Theory." Modern Physics Letters A 18, no. 29 (September 21, 2003): 2051–70. http://dx.doi.org/10.1142/s0217732303011952.

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We derive an effective Abelian gauge theory (EAGT) of a modified SU(2) Yang–Mills theory. The modification is made by explicitly introducing mass terms of the off-diagonal gluon fields into pure SU(2) Yang–Mills theory, in order that Abelian dominance at a long-distance scale is realized in the modified theory. In deriving the EAGT, the off-diagonal gluon fields involving longitudinal modes are treated as fields that produce quantum effects on the diagonal gluon field and other fields relevant at a long-distance scale. Unlike earlier papers, a necessary gauge fixing is carried out without spoiling the global SU(2) gauge symmetry. We show that the EAGT allows a composite of the Yukawa and the linear potentials which also occurs in an extended dual Abelian Higgs model. This composite potential is understood to be a static potential between color-electric charges. In addition, we point out that the EAGT involves the Skyrme–Faddeev model.
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Dissertations / Theses on the topic "Quantum chromodynamics; Abelian projection"

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Hart, A. "Magnetic monopoles and confinement in lattice gauge theory." Thesis, University of Oxford, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.337718.

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Tsegaye, Takele Dessie. "Confinement Mechanisms in Quantum Chromodynamics." University of Cincinnati / OhioLINK, 2003. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1051373650.

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Critelli, Renato Anselmo Júdica. "Strongly coupled non-Abelian plasmas in a magnetic field." Universidade de São Paulo, 2016. http://www.teses.usp.br/teses/disponiveis/43/43134/tde-18072016-183858/.

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In this dissertation we use the gauge/gravity duality approach to study the dynamics of strongly coupled non-Abelian plasmas. Ultimately, we want to understand the properties of the quark-gluon plasma (QGP), whose scientifc interest by the scientific community escalated exponentially after its discovery in the 2000\'s through the collision of ultrarelativistic heavy ions. One can enrich the dynamics of the QGP by adding an external field, such as the baryon chemical potential (needed to study the QCD phase diagram), or a magnetic field. In this dissertation, we choose to investigate the magnetic effects. Indeed, there are compelling evidences that strong magnetic fields of the order $eB\\sim 10 m_\\pi^2$ are created in the early stages of ultrarelativistic heavy ion collisions. The chosen observable to scan possible effects of the magnetic field on the QGP was the viscosity, due to the famous result $\\eta/s=1/4\\pi$ obtained via holography. In a first approach we use a caricature of the QGP, the $\\mathcal=4$ super Yang-Mills plasma to calculate the deviations of the viscosity as we add a magnetic field. We must emphasize, though, that a magnetized plasma has a priori seven viscosity coefficients (five shears and two bulks). In addition, we also study in this same model the anisotropic heavy quark-antiquark potential in the presence of a magnetic field. In the end, we propose a phenomenological holographic QCD-like model, which is built upon the lattice QCD data, to study the thermodynamics and the viscosity of the QGP with an external strong magnetic field.
Nesta dissertação utilizamos uma abordagem via dualidade gauge/gravity para estudar a dinâmica de plasmas não-Abelianos fortemente interagentes. Nosso objetivo último visa aplicações para o plasma de quarks e glúons (QGP), cujo interesse científico cresceu exponencialmente depois de sua descoberta em meados dos anos 2000 ao colidir-se íons ultrarelativísticos. Podemos enriquecer a dinâmica do QGP ao adicionarmos campos externos, como o potencial químico (para exploração do diagrama de fases hadrônico), ou um campo magnético. Nesta dissertação, tomamos como norte a exploração dos efeitos magnéticos. De fato, acredita-se que campos magnéticos da ordem de $eB\\sim 10 m_\\pi^2$ sejam criados nos estágios iniciais do QGP. O observável escolhido para sondar possíveis efeitos do campo magnético no QGP foi a viscosidade, em partes pelo famoso resultado $\\eta/s=1/4\\pi$ obtido holograficamente. Utilizamos num primeiro momento uma caricatura da QCD, a $\\mathcal=4$ super Yang-Mills para calcular o que muda na viscosidade com o advento do campo magnético. Devemos salientar, contudo, que um plasma altamente magnetizado possui a priori sete coeficientes de viscosidade (cinco de cisalhamento e duas volumétricas). Também exploramos, nesse mesmo modelo, o potencial de um par pesado de quark-antiquark na presença de um campo magnético. Por fim, propomos um modelo holográfico fenomenológico mais semelhante a QCD, sendo ele ``calibrado\'\' pelos dados da QCD na rede, para estudar a termodinâmica e a viscosidade do QGP imerso num forte campo magnético.
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Waelkens, Andries Jozef Nicolaas. "Calculation of webs in non-Abelian gauge theories using unitarity cuts." Thesis, University of Edinburgh, 2017. http://hdl.handle.net/1842/28757.

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When calculating scattering processes in theories involving massless gauge bosons, such as gluons in Quantum Chromodynamics (QCD), one encounters infrared (IR), or soft, divergences. To obtain precise predictions, it is important to have exact expressions for these IR divergences, which are present in any on-shell scattering amplitude. Due to their long wavelength, soft gluons factorise with respect to short-distance, or hard, interactions and can be captured by correlators of semi-infinite Wilson lines. The latter obey a renormalisation group equation, which gives rise to exponentiation. The exponent can be represented diagrammatically in terms of weighted sums of Feynman diagrams, called webs. A web with L external legs, each with ni gluon attachments, is denoted (n1; n2; : : : ; nL). In this way all soft gluon interactions can be described by a soft anomalous dimension. It is currently known at three loops with lightlike kinematics, and at two loops with general kinematics. Our work is a step towards a three-loop result in general kinematics. In recent years, much progress has been made in understanding the general physical properties of scattering amplitudes and in exploiting these properties to calculate specific amplitudes. At the same time, we have discovered a lot of structure underpinning the space of multiple polylogarithms, the functions in terms of which most known amplitudes can be written. General properties include analyticity, implying that scattering amplitudes are analytic functions except on certain branch cuts, and unitarity, or conservation of probability. These two properties are both exploited by unitarity cuts. Unitarity cuts provide a diagrammatic way of calculating the discontinuities of a Feynman diagram across its branch cuts, which is often simpler than calculating the diagram itself. From this discontinuity, the original function can be reconstructed by performing a dispersive integral. In this work, we extend the formalism of unitarity cuts to incorporate diagrams involving Wilson-line propagators, where the inverse propagator is linear in the loop momenta, rather than the quadratic case which has been studied before. To exploit this for the calculation of the soft anomalous dimension, we first found a suitable momentum-space IR regulator and corresponding prescription, and then derived the appropriate largest time equation (LTE). We find that, as in the case of the scalar diagrams, most terms contributing to the LTE turn out to be zero, albeit for different reasons. This simplifies calculations considerably. This formalism is then applied to the calculation of webs with non-lightlike Wilson lines. As a test, we first looked at webs that have been previously studied using other methods. It emerges that, when using the correct variables, the dispersive integrals one encounters here are trivial, illustrating why unitarity cuts are a particularly useful tool for the calculation of webs. We observe that our technique is especially efficient when looking at diagrams involving three-gluon vertices, such as the (1; 1; 1) web and the Y diagram between two lines. We then focus on three-loop diagrams connecting three or four external non-lightlike lines and involving a three-gluon vertex. We calculate the previously unknown three-loop three-leg (1; 1; 3) web in general kinematics. We obtain a result which agrees with the recently calculated lightlike limit. We also develop a technique to test our results numerically using the computer program SecDec, and we find agreement with our analytical result. The result for the (1; 1; 3) web can then be exploited to gain insight into the more complicated three-loop four-leg (1; 1; 1; 2) web. Indeed, the (1; 1; 1; 2) web reduces to the (1; 1; 3) web in a certain collinear limit. We propose an ansatz for the (1; 1; 1; 2) web in general kinematics, based on a conjectured basis of multiple polylogarithms. The result for the (1; 1; 3) web, together with the known result for the lightlike limit of the (1; 1; 1; 2) web, imposes strong constraints on the ansatz. Using these constraints, we manage to fix all but four coefficients in the ansatz. We fit the remaining coefficients numerically, but find that the quality of the fit is not good. We find possible explanations for this poor quality. This calculation is still a work in progress. Our results provide a major step towards the full calculation of the three-loop soft anomalous dimension for non-lightlike Wilson lines. We calculated new results for three-loop webs, and also deepened the understanding of webs in general. We confirm a conjecture about the functional dependence of the soft anomalous dimension on the cusp angles. We also confirm earlier findings about the symbol alphabet of the relevant functions. This confirms the remarkable simplicity found earlier in the expressions for the soft anomalous dimension.
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Seyedi, Shila Seyedi. "QFT and Spontaneous Symmetry Breaking." Thesis, Uppsala universitet, Teoretisk fysik, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-425891.

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The aim of this project is to understand the structure of the Standard Model of the particle physics. Therefore quantum field theories (QFT) are studied in the both cases of abelian and non-abelian gauge theories i.e. quantum electrodynamics (QED), quantum chromodynamics (QCD) and electroweak interaction are reviewed. The solution to the mass problem arising in these theories i.e. spontaneous symmetry breaking is also studied.
Syftet med detta projekt är att förstå strukturen för partikelfysikens standardmodell. Därför studeras kvantfältsteorier (QFT) i båda fallen av abelska och icke-abelska gaugeteorier, dvs kvantelektrodynamik (QED), kvantkromodynamik (QCD) och elektrosvag växelverkan granskas. Lösningen på massproblemet som uppstår i dessa teorier, dvs. spontant symmetribrott studeras också.
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Söderberg, Alexander. "Renormalization in Field Theories." Thesis, Uppsala universitet, Teoretisk fysik, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-251561.

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Several different approaches to renormalization are studied. The Callan-Symanzik equation is derived and we study its beta functions. An effective potential for the Coleman-Weinberg model is studied to find that the beta function is positive and that spontaneous symmetry breaking will occur if we expand around the classical field. Lastly we renormalize a non-abelian gaugetheory to find that the beta function in QCD is negative.
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Ghiotti, Marco. "Gauge fixing and BRST formalism in non-Abelian gauge theories." 2007. http://hdl.handle.net/2440/57114.

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Title page, contents and abstract only. The complete thesis in print form is available from the University of Adelaide Library.
In this thesis we present a comprehensive study of perturbative and non-perturbative non-Abelian gauge theories in the light of gauge-fixing procedures, focusing our attention on the BRST formalism in Yang-Mills theory.
http://proxy.library.adelaide.edu.au/login?url= http://library.adelaide.edu.au/cgi-bin/Pwebrecon.cgi?BBID=1284180
Thesis (Ph.D.) -- University of Adelaide, School of Chemistry and Physics, 2007
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Books on the topic "Quantum chromodynamics; Abelian projection"

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Joannis, Papavassiliou, and Binosi Daniele, eds. The pinch technique and its applications to non-Abelian gauge theories. Cambridge: Cambridge University Press, 2011.

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Book chapters on the topic "Quantum chromodynamics; Abelian projection"

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Peskin, Michael E. "Quantum Chromodynamics." In Concepts of Elementary Particle Physics, 169–86. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198812180.003.0011.

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This chapter introduces non-Abelian gauge symmetry and the associated field equations for spin-1 particles. It proposes the gauge theory Quantum Chromodynamics as the theory of the strong interaction. It describes the property of asymptotic freedom, which explains a number of mysteries in the experimental results shown in the previous three chapters.
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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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"Gauge fixing in non-Abelian theories: (1 + 1)-dimensional quantum chromodynamics." In Quantum Field Theory in Condensed Matter Physics, 355–57. Cambridge University Press, 2003. http://dx.doi.org/10.1017/cbo9780511615832.042.

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Zinn-Justin, Jean. "Quantum field theory: Asymptotic safety." In From Random Walks to Random Matrices, 253–64. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198787754.003.0015.

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Chapter 15 examines the conditions under which it is possible to define renormalized quantum field theories (QFTs) consistent on all scales (a property not necessary for effective QFTs and not shared by ‘trivial’ theories like quantum electrodynamics (the triviality issue)). It has been conjectured that a necessary and, perhaps, sufficient condition is the existence of ultraviolet fixed points, a property called asymptotic safety. Examples are “asymptotically free” theories like non–Abelian gauge theories (quantum chromodynamics, or QCD) in four dimensions or the non–linear sigma model in two dimensions. These theories are characterized by a crossover scale between universal infrared and large momentum behaviour behaviours. The non–linear sigma and Gross–Neveu models in dimensions greater than 2 are examined in detail. For example, the non–linear sigma model exhibits, below the critical temperature, a crossover between an infrared behaviour dominated by Goldstone modes and a universal, large momentum, critical behaviour.
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Zinn-Justin, Jean. "A few solvable two-dimensional quantum field theories (QFT)." In Quantum Field Theory and Critical Phenomena, 721–46. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198834625.003.0030.

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The chapter is devoted to several two-dimensional quantum field theories (QFT), whose properties can be determined by non-perturbative methods. The Schwinger model, a model of two-dimensional quantum electrodynamics (QED) with massless fermions, illustrates the properties of confinement, spontaneous chiral symmetry breaking, asymptotic freedom and anomalies, properties one also expects in particle physics from quantum chromodynamics. The equivalence between the massive Thirring model, a fermion model with current–current interaction, and the sine-Gordon model is derived, using the bozonisation technique. The bosonization technique, based on an identity for Cauchy determinants, establishes relations, specific to two dimensions, between fermion and boson local field theories. Several generalized Thirring model are also discussed. In the discussion of the O(N) non-linear σ-model, it has been noticed that the Abelian case N = 2 is special, because the renormalization group (RG) β-function vanishes in two dimensions. The corresponding O(2) invariant spin model is especially interesting: it provides an example of the celebrated Kosterlitz–Thouless (KT) phase transition and will be studied elsewhere. This chapter also provides the necessary technical background for such an investigation.
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Conference papers on the topic "Quantum chromodynamics; Abelian projection"

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Itoh, Taichi, and Yoonbai Kim. "Fixed point structure of 3D abelian gauge theories." In New directions in quantum chromodynamics. AIP, 1999. http://dx.doi.org/10.1063/1.1301677.

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Dreher, Patrick. "Challenges Implementing non-Abelian $SU(2)$ Quantum Chromodynamics Gauge Links On a Universal Quantum Computer." In The 36th Annual International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2019. http://dx.doi.org/10.22323/1.334.0036.

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Kondo, Kei-Ichi, Akihiro Shibata, Toru Shinohara, and Seikou Kato. "Quark confinement due to non-Abelian magnetic monopoles in SU(3) Yang-Mills theory." In QCD@WORK 2012: International Workshop on Quantum Chromodynamics: Theory and Experiment. AIP, 2012. http://dx.doi.org/10.1063/1.4763521.

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