Relevant bibliographies by topics / Operator renormalization

Academic literature on the topic 'Operator renormalization'

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Published: 10 December 2022
Last updated: 28 January 2023

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Journal articles on the topic "Operator renormalization"

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Kawamura, Hiroyuki, Tsuneo Uematsu, Yoshiaki Yasui, and Jiro Kodaira. "Renormalization of Twist-Four Operators in QCD Bjorken and Ellis–Jaffe Sum Rules." Modern Physics Letters A 12, no. 02 (January 20, 1997): 135–43. http://dx.doi.org/10.1142/s0217732397000133.

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The QCD effects of twist-four operators on the first moment of nucleon spin-dependent structure function g1(x,Q2) are studied in the framework of operator product expansion and renormalization group method. We investigate the operator mixing through renormalization of the twist-four operators including those proportional to the equation of motion by evaluating off-shell Green's functions in the usual covariant gauge as well as in the background gauge. Through this procedure we extract the one-loop anomalous dimension of the spin-1 and twist-four operator which determines the logarithmic correction to the 1/Q2 behavior of the contribution from the twist-four operators to the first moment of g1(x,Q2).
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Horn, D., W. G. J. Langeveld, H. R. Quinn, and M. Weinstein. "Operator renormalization group." Physical Review D 38, no. 10 (November 15, 1988): 3238–47. http://dx.doi.org/10.1103/physrevd.38.3238.

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SAKAI, KENJI. "HANDLE OPERATOR AND QUANTUM STRING EQUATION FROM WILSON’S RENORMALIZATION GROUP." Modern Physics Letters A 04, no. 22 (October 30, 1989): 2185–93. http://dx.doi.org/10.1142/s0217732389002458.

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We show explicitly a relationship between string one-loop amplitudes obtained by using a handle operator and those obtained by using a usual trace formula in the operator formalism on the sphere. Using this relationship we construct the handle operator as a product of two local operators. As a quantum (loop corrected) string equation we derive Wilson’s equation for the general partition function with handle operators.
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NAKAYAMA, YU. "VECTOR BETA FUNCTION." International Journal of Modern Physics A 28, no. 31 (December 19, 2013): 1350166. http://dx.doi.org/10.1142/s0217751x13501662.

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We propose various properties of renormalization group beta functions for vector operators in relativistic quantum field theories. We argue that they must satisfy compensated gauge invariance, orthogonality with respect to scalar beta functions, Higgs-like relation among anomalous dimensions and a gradient property. We further conjecture that nonrenormalization holds if and only if the vector operator is conserved. The local renormalization group analysis guarantees the first three within power counting renormalization. We verify all the conjectures in conformal perturbation theories and holography in the weakly coupled gravity regime.
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HAZARD, P. E. "Hénon-like maps with arbitrary stationary combinatorics." Ergodic Theory and Dynamical Systems 31, no. 5 (March 9, 2011): 1391–443. http://dx.doi.org/10.1017/s0143385710000398.

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AbstractWe extend the renormalization operator introduced in [A. de Carvalho, M. Martens and M. Lyubich. Renormalization in the Hénon family, I: universality but non-rigidity. J. Stat. Phys.121(5/6) (2005), 611–669] from period-doubling Hénon-like maps to Hénon-like maps with arbitrary stationary combinatorics. We show that the renormalization picture also holds in this case if the maps are taken to be strongly dissipative. We study infinitely renormalizable maps F and show that they have an invariant Cantor set 𝒪 on which F acts like a p-adic adding machine for some p>1. We then show, as for the period-doubling case in the work of de Carvalho, Martens and Lyubich [Renormalization in the Hénon family, I: universality but non-rigidity. J. Stat. Phys.121(5/6) (2005), 611–669], that the sequence of renormalizations has a universal form, but that the invariant Cantor set 𝒪 is non-rigid. We also show that 𝒪 cannot possess a continuous invariant line field.
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CHANDRAMOULI, V. V. M. S., M. MARTENS, W. DE MELO, and C. P. TRESSER. "Chaotic period doubling." Ergodic Theory and Dynamical Systems 29, no. 2 (April 2009): 381–418. http://dx.doi.org/10.1017/s0143385708080371.

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AbstractThe period doubling renormalization operator was introduced by Feigenbaum and by Coullet and Tresser in the 1970s to study the asymptotic small-scale geometry of the attractor of one-dimensional systems that are at the transition from simple to chaotic dynamics. This geometry turns out not to depend on the choice of the map under rather mild smoothness conditions. The existence of a unique renormalization fixed point that is also hyperbolic among generic smooth-enough maps plays a crucial role in the corresponding renormalization theory. The uniqueness and hyperbolicity of the renormalization fixed point were first shown in the holomorphic context, by means that generalize to other renormalization operators. It was then proved that, in the space ofC2+αunimodal maps, forα>0, the period doubling renormalization fixed point is hyperbolic as well. In this paper we study what happens when one approaches from below the minimal smoothness thresholds for the uniqueness and for the hyperbolicity of the period doubling renormalization generic fixed point. Indeed, our main result states that in the space ofC2unimodal maps the analytic fixed point is not hyperbolic and that the same remains true when adding enough smoothness to geta prioribounds. In this smoother class, calledC2+∣⋅∣, the failure of hyperbolicity is tamer than inC2. Things get much worse with just a bit less smoothness thanC2, as then even the uniqueness is lost and other asymptotic behavior becomes possible. We show that the period doubling renormalization operator acting on the space ofC1+Lipunimodal maps has infinite topological entropy.
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MAGGIORE, NICOLA. "ALGEBRAIC RENORMALIZATION OF N=2 SUPER YANG-MILLS THEORIES COUPLED TO MATTER." International Journal of Modern Physics A 10, no. 26 (October 20, 1995): 3781–801. http://dx.doi.org/10.1142/s0217751x95001789.

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We study the algebraic renormalization of N=2 supersymmetric Yang-Mills theories coupled to matter. A regularization procedure preserving both the BRS invariance and the supersymmetry is not known yet, so it is necessary to adopt the algebraic method of renormalization, which does not rely on any regularization scheme. The whole analysis is reduced to the solution of cohomology problems arising from the generalized Slavnov operator which summarizes all the symmetries of the model. Besides unphysical renormalizations of the quantum fields, we find that the only coupling constant of N=2 supersymmetric Yang-Mills theories can get quantum corrections. Moreover, we prove that all the symmetries defining the theory are algebraically anomaly-free.
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Antusch, Stefan, Manuel Drees, Jörn Kersten, Manfred Lindner, and Michael Ratz. "Neutrino mass operator renormalization revisited." Physics Letters B 519, no. 3-4 (November 2001): 238–42. http://dx.doi.org/10.1016/s0370-2693(01)01127-3.

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FRÖHLICH, JÜRG, MARCEL GRIESEMER, and ISRAEL MICHAEL SIGAL. "ON SPECTRAL RENORMALIZATION GROUP." Reviews in Mathematical Physics 21, no. 04 (May 2009): 511–48. http://dx.doi.org/10.1142/s0129055x09003682.

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The operator-theoretic renormalization group (RG) methods are powerful analytic tools to explore spectral properties of field-theoretical models such as quantum electrodynamics (QED) with non-relativistic matter. In this paper, these methods are extended and simplified. In a companion paper, our variant of operator-theoretic RG methods is applied to establishing the limiting absorption principle in non-relativistic QED near the ground state energy.
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Ishikawa, Tomomi. "Perturbative matching of continuum and lattice quasi-distributions." EPJ Web of Conferences 175 (2018): 06028. http://dx.doi.org/10.1051/epjconf/201817506028.

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Matching of the quasi parton distribution functions between continuum and lattice is addressed using lattice perturbation theory specifically withWilson-type fermions. The matching is done for nonlocal quark bilinear operators with a straightWilson line in a spatial direction. We also investigate operator mixing in the renormalization and possible O(a) operators for the nonlocal operators based on a symmetry argument on lattice.
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Dissertations / Theses on the topic "Operator renormalization"

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Anderson, Eric Robert. "Operator Evolution in the Similarity Renormalization Group." The Ohio State University, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=osu1345526806.

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Dunne, Gerald V. "Deep inelastic scattering and the EMC effect /." Title page, contents and introduction only, 1986. http://web4.library.adelaide.edu.au/theses/09SM/09smd923.pdf.

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Kaltenbrunner, Thomas. "Renormalization of three-quark operators for the nucleon distribution amplitude." kostenfrei, 2008. http://www.opus-bayern.de/uni-regensburg/volltexte/2009/1109/.

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Bergström, Johannes. "Predictions of Effective Models in Neutrino Physics." Licentiate thesis, KTH, Teoretisk partikelfysik, 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-35267.

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Experiments on neutrino oscillations have confirmed that neutrinos have small, but non-zero masses, and that the interacting neutrino states do not have definite masses, but are mixtures of such states.The seesaw models make up a group of popular models describing the small neutrino masses and the corresponding mixing.In these models, new, heavy fields are introduced and the neutrino masses are suppressed by the ratio between the electroweak scale and the large masses of the new fields. Usually, the new fields introduced have masses far above the electroweak scale, outside the reach of any foreseeable experiments, making these versions of seesaw models essentially untestable. However, there are also so-called low-scale seesaw models, where the new particles have masses above the electroweak scale, but within the reach of future experiments, such as the LHC.In quantum field theories, quantum corrections generally introduce an energy-scale dependence on all their parameters, described by the renormalization group equations. In this thesis, the energy-scale dependence of the neutrino parameters in two low-scale seesaw models, the low-scale type I and inverse seesaw models, are considered. Also, the question of whether the neutrinos are Majorana particles, \ie , their own antiparticles, has not been decided experimentally. Future experiments on neutrinoless double beta decay could confirm the Majorana nature of neutrinos. However, there could also be additional contributions to the decay, which are not directly related to neutrino masses. We have investigated the possible future bounds on the strength of such additional contributions to neutrinoless double beta decay, depending on the outcome of ongoing and planned experiments related to neutrino masses.
QC 20110812
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Gruber, Michael [Verfasser], Andreas [Akademischer Betreuer] Schäfer, and Vladimir [Akademischer Betreuer] Braun. "Renormalization of three-quark operators for baryon distribution amplitudes / Michael Gruber ; Andreas Schäfer, Vladimir Braun." Regensburg : Universitätsbibliothek Regensburg, 2017. http://d-nb.info/1149366621/34.

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Fransson, Jonas. "Non-Orthogonality and Electron Correlations in Nanotransport : Spin- and Time-Dependent Currents." Doctoral thesis, Uppsala University, Department of Physics, 2002. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-2687.

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The concept of the transfer Hamiltonian formalism has been reconsidered and generalized to include the non-orthogonality between the electron states in an interacting region, e.g. quantum dot (QD), and the states in the conduction bands in the attached contacts. The electron correlations in the QD are described by means of a diagram technique for Hubbard operator Green functions for non-equilibrium states.

It is shown that the non-orthogonality between the electrons states in the contacts and the QD is reflected in the anti-commutation relations for the field operators of the subsystems. The derived forumla for the current contains corrections from the overlap of the same order as the widely used conventional tunneling coefficients.

It is also shown that kinematic interactions between the QD states and the electrons in the contacts, renormalizes the QD energies in a spin-dependent fashion. The structure of the renormalization provides an opportunity to include a spin splitting of the QD levels by polarizing the conduction bands in the contacts and/or imposing different hybridizations between the states in the contacts and the QD for the two spin channels. This leads to a substantial amplification of the spin polarization in the current, suggesting applications in magnetic sensors and spin-filters.

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Bergström, Johannes. "Models in Neutrino Physics : Numerical and Statistical Studies." Doctoral thesis, KTH, Teoretisk partikelfysik, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-127409.

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The standard model of particle physics can excellently describe the vast majorityof data of particle physics experiments. However, in its simplest form, it cannot account for the fact that the neutrinos are massive particles and lepton flavorsmixed, as required by the observation of neutrino oscillations. Hence, the standardmodel must be extended in order to account for these observations, opening up thepossibility to explore new and interesting physical phenomena. There are numerous models proposed to accommodate massive neutrinos. Thesimplest of these are able to describe the observations using only a small numberof effective parameters. Furthermore, neutrinos are the only known existing particleswhich have the potential of being their own antiparticles, a possibility that isactively being investigated through experiments on neutrinoless double beta decay.In this thesis, we analyse these simple models using Bayesian inference and constraintsfrom neutrino-related experiments, and we also investigate the potential offuture experiments on neutrinoless double beta decay to probe other kinds of newphysics. In addition, more elaborate theoretical models of neutrino masses have beenproposed, with the seesaw models being a particularly popular group of models inwhich new heavy particles generate neutrino masses. We study low-scale seesawmodels, in particular the resulting energy-scale dependence of the neutrino parameters,which incorporate new particles with masses within the reach of current andfuture experiments, such as the LHC.
Standardmodellen för partikelfysik beskriver den stora majoriteten data från partikelfysikexperimentutmärkt. Den kan emellertid inte i sin enklaste form beskrivadet faktum att neutriner är massiva partiklar och leptonsmakerna är blandande,vilket krävs enligt observationerna av neutrinooscillationer. Därför måste standardmodellenutökas för att ta hänsyn till detta, vilket öppnar upp möjligheten att utforska nya och intressanta fysikaliska fenomen. Det finns många föreslagna modeller för massiva neutriner. De enklaste av dessakan beskriva observationerna med endast ett fåtal effektiva parametrar. Dessutom är neutriner de enda kända befintliga partiklar som har potentialen att vara sinaegna antipartiklar, en möjlighet som aktivt undersöks genom experiment på neutrinolöst dubbelt betasönderfall. I denna avhandling analyserar vi dessa enkla modellermed Bayesisk inferens och begränsningar från neutrinorelaterade experiment och undersöker även potentialen för framtida experiment på neutrinolöst dubbelt betasönderfall att bergänsa andra typer av ny fysik. Även mer avancerade teoretiska modeller för neutrinomassor har föreslagits, med seesawmodeller som en särskilt populär grupp av modeller där nya tunga partiklargenererar neutrinomassor. Vi studerar seesawmodeller vid låga energier, i synnerhetneutrinoparametrarnas resulterande energiberoende, vilka inkluderar nya partiklarmed massor inom räckh°all för nuvarande och framtida experiment såsom LHC.

QC 20130830

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Sendrowski, Janek. "Feigenbaum Scaling." Thesis, Linnéuniversitetet, Institutionen för matematik (MA), 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-96635.

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In this thesis I hope to provide a clear and concise introduction to Feigenbaum scaling accessible to undergraduate students. This is accompanied by a description of how to obtain numerical results by various means. A more intricate approach drawing from renormalization theory as well as a short consideration of some of the topological properties will also be presented. I was furthermore trying to put great emphasis on diagrams throughout the text to make the contents more comprehensible and intuitive.
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Hume, Jeremy. "Renormalization procedures for C*-algebras." Thesis, 2021. http://hdl.handle.net/1828/13285.

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Renormalization procedures for families of dynamical systems have been used to prove many interesting results. Examples of results include that the bifurcation rate for the attractors of an analytic one-parameter family of quadratic-like maps is universal for all such families, unique ergodicity for almost every interval exchange mapping, a unique ergodicity criterion for the vertical translation flow of a flat surface in terms of its ``renormalization dynamics", known as Masur's criterion, and the classification of circle diffeomorphisms up to $C^{\infty}$ conjugation. We introduce renormalization procedures for $C^{*}$-algebras and étale groupoids using the concepts of $C_{0}(X)$-algebras and Morita equivalence for the former, and groupoid bundles and groupoid equivalence, in the sense of Muhly, Renault and Williams, for the latter. We focus on proving analogs to Masur's criterion in both cases using $C^{*}$-algebraic methods. Applying our criterion to our examples of renormalization procedures provides a unique trace criterion for unital AF algebras extending the one provided by Treviño in the setting of flat surfaces and the one provided by Veech in the setting of interval exchange mappings. Also, we recover the old fact that rotation of the circle by an irrational angle is uniquely ergodic, and the new fact that interesting groupoids associated to certain iterated function systems, recently introduced by Korfanty, have unique invariant probability measures whenever they are minimal. Lastly, we show how an étale groupoid renormalization procedure arises from an étale groupoid which factors down onto a groupoid associated to its renormalization dynamics, whenever it is a local homeomorphism.
Graduate
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Kordov, Zeno Rafael. "Broken flavour-symmetry induced state mixing in lattice QCD+QED." Thesis, 2022. https://hdl.handle.net/2440/135884.

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Lattice QCD affords us the unique opportunity to study the quark structure of hadrons non-perturbatively, through the couplings of quark- field operators to hadron mass-eigenstates. In this thesis, we study cases of flavour wavefunction mixing which are induced by broken flavour-symmetry, with particular consideration for the effects of isospin-breaking and electromagnetism. Namely, we investigate mixing between the octet baryons 0 and , and the pseudoscalar mesons 0, and 0, respectively. The latter scenario introduces the computational challenge of calculating disconnected quark-loop diagrams on the lattice, and we have investigated various techniques for improving the calculation. Additionally, we calculate the masses of the pseudoscalar mesons in lattice QCD+QED simulations, and investigate their behaviour with respect to the flavour-symmetry features observed through the state mixing. Finally, we detail and present lattice determinations of the weak decay constants of the pseudoscalar mesons, with the investigation being informed by the aforementioned state mixing. The results obtained from lattice simulations in each investigation are used to t quark mass and charge extrapolations for the relevant quantities.
Thesis (Ph.D.) -- University of Adelaide, School of Physical Sciences, 2022
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Books on the topic "Operator renormalization"

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Lanford III, Oscar E., and Michael Yampolsky. Fixed Point of the Parabolic Renormalization Operator. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-11707-2.

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Motives, quantum field theory, and pseudodifferential operators: Conference on Motives, Quantum Field Theory, and Pseudodifferential Operators, June 2-13, 2008, Boston University, Boston, Massachusetts. Providence, R.I: American Mathematical Society, 2010.

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1966-, Ellwood D. (David), and Brazilian School of Probability (14th : 2010 : Armação dos Búzios, Brazil), eds. Probability and statistical physics in two and more dimensions: Clay Mathematics Institute Summer School and XIV Brazilian School of Probability, Búzios, Brazil, July 11-August 7, 2010. Providence, R.I: American Mathematical Society, 2012.

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Collins, John C. Renormalization: An Introduction to Renormalization, the Renormalization Group and the Operator-Product Expansion. Cambridge University Press, 2011.

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Collins, John C. Renormalization: An Introduction to Renormalization, the Renormalization Group and the Operator-Product Expansion. Cambridge University Press, 2010.

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Yampolsky, Michael, and Oscar E. Lanford III. Fixed Point of the Parabolic Renormalization Operator. Springer, 2014.

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Yampolsky, Michael, and Oscar E. Lanford III. Fixed Point of the Parabolic Renormalization Operator. Springer, 2014.

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Renormalization: An Introduction to Renormalization, the Renormalization Group and the Operator-Product Expansion (Cambridge Monographs on Mathematical Physics). Cambridge University Press, 1986.

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Collins, John C. Renormalization: An Introduction to Renormalization, the Renormalization Group, and the Operator-Product Expansion (Cambridge Monographs on Mathematical Physics) (Edition in Russian Language). Peace/Cambridge University Press, 1988.

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Phua, K. K. Ken Wilson Memorial Volume: Renormalization, Lattice Gauge Theory, the Operator Product Expansion and Quantum Fields. World Scientific Publishing Co Pte Ltd, 2015.

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Book chapters on the topic "Operator renormalization"

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Klein, Sebastian. "Renormalization of Composite Operator Matrix Elements." In Charm Production in Deep Inelastic Scattering, 63–96. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-23286-2_4.

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Buras, Andrzej J. "Operator Product Expansion, Renormalization Group and Weak Decays." In Quantum Field Theory, 65–85. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/3-540-44482-3_5.

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Rosenbaum, Marcos, and J. David Vergara. "Dirac Operator, Hopf Algebra of Renormalization, and Structure of Spacetime." In Clifford Algebras and their Applications in Mathematical Physics, 283–302. Boston, MA: Birkhäuser Boston, 2000. http://dx.doi.org/10.1007/978-1-4612-1368-0_15.

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Kobayashi, Toshiyuki, and Birgit Speh. "The Knapp–Stein Intertwining Operators Revisited: Renormalization and K-spectrum." In Symmetry Breaking for Representations of Rank One Orthogonal Groups II, 119–33. Singapore: Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-2901-2_8.

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Di Giacomo, Adriano. "Renormalization and Continuum Limit of Composite Operators in Lattice Gauge Theories." In NATO ASI Series, 91–97. Boston, MA: Springer US, 1987. http://dx.doi.org/10.1007/978-1-4613-1909-2_10.

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CARTIER, PIERRE, and CÉCILE DEWITT-MORETTE. "BRYDGES' OPERATOR IN RENORMALIZATION THEORY." In Mathematical Physics and Stochastic Analysis, 165–68. WORLD SCIENTIFIC, 2000. http://dx.doi.org/10.1142/9789812792167_0013.

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Neubert, Matthias. "Renormalization Theory and Effective Field Theories." In Effective Field Theory in Particle Physics and Cosmology, 1–46. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198855743.003.0001.

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Chapter 1 features lectures that review the formalism of renormalization in quantum field theories with special regard to effective quantum field theories. While renormalization theory is part of every advanced course on quantum field theory, for effective theories some more advanced topics become particularly important. These topics include the renormalization of composite operators, operator mixing under scale evolution, and the resummation of large logarithms of scale ratios. The lectures from this course thus set the basis for any systematic study of the techniques and applications of effective field theories and offer an introduction for the reader to the content within this book.
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"Thermodynamical Formalism and the Renormalization Operator." In Advanced Series in Nonlinear Dynamics, 265–92. WORLD SCIENTIFIC, 1996. http://dx.doi.org/10.1142/9789814350105_0006.

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"On the dynamics of the renormalization operator." In Global Analysis of Dynamical Systems, 447–58. CRC Press, 2001. http://dx.doi.org/10.1201/9781420034288-20.

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Martens, Marco, Welington de Melo, and Artur Avila. "On the dynamics of the renormalization operator." In Global Analysis of Dynamical Systems. Taylor & Francis, 2001. http://dx.doi.org/10.1201/9781420034288.ch20.

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Conference papers on the topic "Operator renormalization"

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Wagman, Michael, and Michael I. Buchoff. "Neutron-Antineutron Operator Renormalization." In The 32nd International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2015. http://dx.doi.org/10.22323/1.214.0290.

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LAWRYNOWICZ, JULIAN, KIYOHARU NÔNO, and OSMAU SUZUKI. "A FRACTAL RENORMALIZATION THEORY OF INFINITE DIMENSIONAL CLIFFORD ALGEBRA AND RENORMALIZED DIRAC OPERATOR." In Proceedings of the 5th International ISAAC Congress. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789812835635_0104.

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Costa, Marios, Martha Constantinou, Roberto Frezzotti, Vittorio Lubicz, Guido Martinelli, Davide Meloni, Haris Panagopoulos, and Silvano Simula. "Perturbative and non-perturbative renormalization results of the Chromomagnetic Operator on the Lattice." In The 32nd International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2015. http://dx.doi.org/10.22323/1.214.0289.

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de Divitiis, Giulia Maria, Isabel Campos Plasencia, Mattia Dalla Brida, Andrew Lytle, Mauro Papinutto, Ludovica Pirelli, and Anastassios Vladikas. "Renormalization & improvement of the tensor operator for $N_f=3$ QCD in a $\chi$SF setup." In The 38th International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2022. http://dx.doi.org/10.22323/1.396.0253.

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Avila, Artur. "Dynamics of Renormalization Operators." In Proceedings of the International Congress of Mathematicians 2010 (ICM 2010). Published by Hindustan Book Agency (HBA), India. WSPC Distribute for All Markets Except in India, 2011. http://dx.doi.org/10.1142/9789814324359_0009.

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Braun, Vladimir, Alexander N. Manashov, and Juergen Rohrwild. "Renormalization of twist-4 operators." In RADCOR 2009 - 9th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology). Trieste, Italy: Sissa Medialab, 2010. http://dx.doi.org/10.22323/1.092.0042.

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Skouroupathis, Apostolos. "Higher loop renormalization of fermion bilinear operators." In The XXV International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2008. http://dx.doi.org/10.22323/1.042.0254.

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NAKAMURA, SATOSHI X. "RENORMALIZATION GROUP ANALYSIS OF NUCLEAR CURRENT OPERATORS." In Proceedings of the 5th International Workshop on Chiral Dynamics, Theory and Experiment. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812790804_0072.

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Orginos, Kostas, and Christopher Monahan. "Finite volume renormalization scheme for fermionic operators." In 31st International Symposium on Lattice Field Theory LATTICE 2013. Trieste, Italy: Sissa Medialab, 2014. http://dx.doi.org/10.22323/1.187.0443.

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10

Monahan, Chris, Anna Hasenfratz, Matthew David Rizik, Andrea Shindler, and Oliver Witzel. "A novel nonperturbative renormalization scheme for local operators." In The 38th International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2022. http://dx.doi.org/10.22323/1.396.0155.

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