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Relevant bibliographies by topics / Renormalization on non-renormalizable theories

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Academic literature on the topic 'Renormalization on non-renormalizable theories'

Author: Grafiati

Published: 4 June 2021

Last updated: 9 February 2022

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Journal articles on the topic "Renormalization on non-renormalizable theories"

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Anselmi, Damiano. "Renormalization of a class of non-renormalizable theories." Journal of High Energy Physics 2005, no. 07 (2005): 077. http://dx.doi.org/10.1088/1126-6708/2005/07/077.

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Musayev, S. "Renormalization of Kernels in Stochastically Quantized Gauge-Invariant Fermionic Theories." International Journal of Modern Physics A 12, no. 31 (1997): 5555–71. http://dx.doi.org/10.1142/s0217751x97002917.

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Fermionic theory coupled to the non-Abelian gauge field is stochastically quantized by means of choosing certain quasilocal gauge-covariant kernel. One-loop renormalization is carried out for the whole system of the Langevin equations which are shown to be multiplicative renormalizable. Renormalization of noise correlators agrees with that of the kernel in the Langevin equations. In the equilibrium limit β-function and mass renormalization constant reproduce standard results. It is demonstrated that the nonequilibrium theory possesses BRST invariance.

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GUPTA, V., D. V. SHIRKOV, and O. V. TARASOV. "NEW PERTURBATIVE APPROACH TO GENERAL RENORMALIZABLE QUANTUM FIELD THEORIES." International Journal of Modern Physics A 06, no. 19 (1991): 3381–97. http://dx.doi.org/10.1142/s0217751x91001647.

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We develop further the new approach to perturbation theory for renormalizable quantum field theories (proposed some years ago) which gives renormalization-scheme-independent predictions for observable quantities. We call the resulting REnormalization-Scheme-Independent PErturba-tion theory RESIPE, for short. First, we formulate explicitly the relation of RESIPE to the renormalization group formalism for the massless one-coupling case. Then we extend this to the case where particle masses cannot be neglected. Further, we generalize the RESIPE formalism for the theory with two coupling constants

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Shojaei-Fard, Ali. "Counterterms in the context of the universal Hopf algebra of renormalization." International Journal of Modern Physics A 29, no. 08 (2014): 1450045. http://dx.doi.org/10.1142/s0217751x14500456.

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'T HOOFT, GERARD. "RENORMALIZATION WITHOUT INFINITIES." International Journal of Modern Physics A 20, no. 06 (2005): 1336–45. http://dx.doi.org/10.1142/s0217751x05024249.

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Most renormalizable quantum field theories can be rephrased in terms of Feynman diagrams that only contain dressed irreducible 2-, 3-, and 4-point vertices. These irreducible vertices in turn can be solved from equations that also only contain dressed irreducible vertices. The diagrams and equations that one ends up with do not contain any ultraviolet divergences. The original bare Lagrangian of the theory only enters in terms of freely adjustable integration constants. It is explained how the procedure proposed here is related to the renormalization group equations. The procedure requires the

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AL-KUWARI, HEMYAN A., and M. O. TAHA. "APPLICATION OF THE RENORMALIZATION GROUP TO ASYMPTOTIC BEHAVIOR IN THE MASS PARAMETER." International Journal of Modern Physics A 09, no. 13 (1994): 2283–300. http://dx.doi.org/10.1142/s0217751x94000947.

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A form of the exact solution of the renormalization group equation of the effective potential, suitable for extracting the asymptotic behavior in the mass parameter, is given. The formalism is applied to five specific examples of renormalizable field theories. A discussion of the significance and relevance of the results is given.

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McKeon, D. G. C. "Mass scale dependence in operator regularization." Canadian Journal of Physics 66, no. 12 (1988): 1094–105. http://dx.doi.org/10.1139/p88-175.

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We investigate the role of the mass scale parameter μ2 that naturally arises in the course of computing radiative corrections in quantum-field theory when using operator regularization. When dealing with renormalizable theories, a change in the value of μ2 can be compensated for by a change in the physical parameters that characterize the theory, and a set of renormalization group equations similar to those of Gell-Mann and Low are derived. As operator regularization does not give rise to divergences at any stage of a calculation, it is possible to compute radiative corrections in so-called no

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ODINTSOV, SERGEI D., and YONGSUNG YOON. "WILSONIAN BLACK HOLE ENTROPY IN QUANTUM GRAVITY." International Journal of Modern Physics A 11, no. 16 (1996): 2823–34. http://dx.doi.org/10.1142/s0217751x96001371.

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Using the Wilsonian procedure (renormalization group improvement) we discuss the finite quantum corrections to black hole entropy in renormalizable theories. In this way, the Wilsonian black hole entropy is found for GUT’s (of asymptotically free form, in particular) and for the effective theory for the conformal factor aiming to describe quantum gravity in the infrared region. The off-critical regime (where the coupling constants are running) for the effective theory for the conformal factor in quantum gravity (with or without torsion) is explicitly constructed. The corresponding renormalizat

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Agodi, A., P. Castorina, and M. Consoli. "Renormalization group equations and the continuum limit of some renormalizable quantum field theories." Physics Letters B 202, no. 1 (1988): 127–30. http://dx.doi.org/10.1016/0370-2693(88)90865-9.

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Novikov, V. A., M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov. "Non-renormalization theorems for non-perturbative effects in susy gauge theories." Physics Letters B 217, no. 1-2 (1989): 103–6. http://dx.doi.org/10.1016/0370-2693(89)91524-4.

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Dissertations / Theses on the topic "Renormalization on non-renormalizable theories"

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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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Fresneda, Rodrigo. "Alguns problemas de quantização em teorias com fundos não-abelianos e em espaços-tempo não-comutativos." Universidade de São Paulo, 2008. http://www.teses.usp.br/teses/disponiveis/43/43134/tde-26112008-111337/.

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Esta tese tem por base três artigos publicados pelo autor e colaboradores. O primeiro artigo trata do problema da quantização de modelos pseudoclássicos de partículas escalares em campos de fundo não-abelianos, cujo foco é a dedução desses modelos pseudo-clássicos usando métodos de integral de trajetória. O segundo artigo investiga a possibilidade de realizar modelos de gravitação dilatônica em variedades não-comutativas em duas dimensões. Para tanto, vale-se de um método de análise de vínculos e simetrias especialmente desenvolvido para gravitação não-comutativa em duas dimensões. O terceiro

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Amoruso, Nicola. "Renormalization group flows between non-unitary conformal models." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2016. http://amslaurea.unibo.it/11308/.

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Recentemente sono stati valutati come fisicamente consistenti diversi modelli non-hermitiani sia in meccanica quantistica che in teoria dei campi. La classe dei modelli pseudo-hermitiani, infatti, si adatta ad essere usata per la descrizione di sistemi fisici dal momento che, attraverso un opportuno operatore metrico, risulta possibile ristabilire una struttura hermitiana ed unitaria. I sistemi PT-simmetrici, poi, sono una categoria particolarmente studiata in letteratura. Gli esempi riportati sembrano suggerire che anche le cosiddette teorie conformi non-unitarie appartengano alla categoria d

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Tomasini, Franco. "Contribution a l'etude des non-linearites optiques de chlorure de cuivre." Université Louis Pasteur (Strasbourg) (1971-2008), 1986. http://www.theses.fr/1986STR13111.

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Nous etudions la reponse optique non-lineaire d'un cristal de chlorure de cuivre en interaction avec un faisceau laser intense et de grande finesse spectrale. Un calcul non perturbatif utilisant le formalisme de la matrice densite permet d'obtenir la fonction dielectrique du cristal, represente par un modele a trois ou quatre niveaux (niveau fondamental, excitonique, biexcitonique) dans ces conditions. Les renormalisations des courbes de dispersion, du coefficient d'absorption et de reflexion normale sont calculees. L'utilisation de lasers a colorants a incidence rasante pompes par un laser a

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Soukup, Petr. "Elektroslabé procesy v rámci efektivní polní teorie." Master's thesis, 2009. http://www.nusl.cz/ntk/nusl-275933.

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Title: Electroweak processes in the framework of effective field theory Author: Petr Soukup Department: Institute of Particle and Nuclear Physics Supervisor: RNDr. Karol Kampf, Ph.D. Supervisor's e-mail address: kampf@troja.mff.cuni.cz Abstract: In this thesis, we study electroweak processes within the framework of ef- fective field theory employing the approach of effective Lagrangians. We mainly focus on the decay process H → γγ. A complete set of SU(2) × U(1) invariant dimension- six operators is utilized. We present a brief introduction to GWS Standard model and dimension-six effective ope

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Books on the topic "Renormalization on non-renormalizable theories"

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Breitenlohner, Peter, Dieter Maison, and Klaus Sibold, eds. Renormalization of Quantum Field Theories with Non-linear Field Transformations. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0033712.

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G, Nardelli, and Soldati R, eds. Yang-Mills theories in algebraic non-covariant gauges: Canonical quantization and renormalization. World Scientific, 1991.

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Breitenlohner, Peter. Renormalization of Quantum Field Theories with Non-linear Field Transformations: Proceedings of a Workshop, Held at Ringberg Castle Tegernsee, FRG, February 16-20, 1987. Springer Berlin Heidelberg, 1988.

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1940-, Breitenlohner P., Maison D. 1939-, and Sibold K, eds. Renormalization of quantum field theories with non-linear field transformations: Proceedings of a workshop, held at Ringberg Castle, Tegernsee, FRG, February 16-20, 1987. Springer-Verlag, 1988.

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Zinn-Justin, Jean. Quantum Field Theory and Critical Phenomena. 5th ed. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198834625.001.0001.

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Introduced as a quantum extension of Maxwell's classical theory, quantum electrodynamic (QED) has been the first example of a quantum field theory (QFT). Eventually, QFT has become the framework for the discussion of all fundamental interactions at the microscopic scale except, possibly, gravity. More surprisingly, it has also provided a framework for the understanding of second order phase transitions in statistical mechanics. In fact, as hopefully this work illustrates, QFT is the natural framework for the discussion of most systems involving an infinite number of degrees of freedom with loc

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Mussardo, Giuseppe. Statistical Field Theory. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198788102.001.0001.

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This book is an introduction to statistical field theory, which is an important subject within theoretical physics and a field that has seen substantial progress in recent years. The book covers fundamental topics in great detail and includes areas like conformal field theory, quantum integrability, S-matrices, braiding groups, Bethe ansatz, renormalization groups, Majorana fermions, form factors, the truncated conformal space approach and boundary field theory. It also provides an introduction to lattice statistical models. Many topics are discussed at a fairly advanced level but via a pedago

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Book chapters on the topic "Renormalization on non-renormalizable theories"

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Maison, Dieter. "Renormalization theory, a short account of results and problems." In Renormalization of Quantum Field Theories with Non-linear Field Transformations. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0033713.

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Blast, A. "B.R.S. renormalization of B(n+1) non linear δ-model." In Renormalization of Quantum Field Theories with Non-linear Field Transformations. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0033721.

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Tarpin, Malo. "Introduction to Non-perturbative Renormalization Group for Out-of-Equilibrium Field Theories." In Springer Theses. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-39871-2_3.

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Altarelli, Guido, and Stefano Forte. "Gauge Theories and the Standard Model." In Particle Physics Reference Library. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-38207-0_2.

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AbstractThis chapter, Chaps. 10.1007/978-3-030-38207-0_3 and 10.1007/978-3-030-38207-0_4 present a self-contained introduction to the Standard Model of fundamental interactions, which describes in the unified framework of gauge quantum field theories all of the fundamental forces of nature but gravity: the strong, weak, and electromagnetic interactions. This set of chapters thus provides both an introduction to the Standard Model, and to quantum field theory at an intermediate level. The union of the three chapters can be taken as a masters’ level course reference, and it requires as a prerequisite an elementary knowledge of quantum field theory, at the level of many introductory textbooks, such as Vol. 1 of Aitchison-Hey, or, at a somewhat more advanced level, Maggiore. The treatment is subdivided into three parts, each corresponding to an individual chapter, with more advanced field theory topics introduced along the way as needed. Specifically, this chapter presents the general structure of the Standard Model, its field content, and symmetry structure. This involves an introduction to non-abelian gauge theories both at the classical and quantum level. Also, it involves a discussion of spontaneous symmetry breaking and the Higgs mechanism, that play a crucial role in the architecture of the Standard Model, and their interplay with the quantization of gauge theories. Chapter 10.1007/978-3-030-38207-0_3 then presents the electroweak sector of the Standard Model. This requires introducing the concepts of CP violation and mixing, and of radiative corrections. Finally, Chap. 10.1007/978-3-030-38207-0_4 presents the strong sector of the theory, which requires a more detailed treatment of renormalization and the renormalization group.

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Buchbinder, Iosif L., and Ilya L. Shapiro. "Renormalization." In Introduction to Quantum Field Theory with Applications to Quantum Gravity. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198838319.003.0009.

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This chapter describes in detail the general concept of renormalization. It starts with a discussion of the regularization of Feynman diagrams. After that, the subtraction procedure is explained in detail, followed by an introduction to the notion of a superficial degree of divergence of the diagram. On this basis, the models of quantum field theory are classified as renormalizable or non-renormalizable theories. The main arbitrariness of the subtraction procedure is fixed by imposing renormalization conditions. Special sections of this chapter are devoted to renormalization in dimensional regularization and renormalization group equations.

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"RENORMALIZATION." In Yang-Mills Theories in Algebraic Non-Covariant Gauges. WORLD SCIENTIFIC, 1991. http://dx.doi.org/10.1142/9789814439466_0004.

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Zinn-Justin, Jean. "Becchi–Rouet–Stora–Tyutin (BRST) symmetry. Gauge theories: Zinn-Justin equation (ZJ) and renormalization." In Quantum Field Theory and Critical Phenomena. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198834625.003.0026.

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The first part of the chapter describes Faddeev–Popov's quantization method, nd the resulting Slavnov–Taylor (ST) identities, in a simple context. This construction automatically implies, after introduction of Faddeev–Popov ‘ghost’ fermions, a Becchi–Rouet–Stora–Tyutin (BRST) symmetry, whose properties are derived. The differential operator, of fermionic type, representing the BRST symmetry, with a proper choice of variables, has the form of a cohomology operator, and a simple form in terms of Grassmann coordinates. The second part of the chapter is devoted to the quantization and renormalization of non-Abelian gauge theories. Quantization of gauge theories require a gauge-fixing procedure. Starting from the non-covariant temporal gauge, and using a simple identity, one shows the equivalence with a quantization in a general class of gauges, including relativistic covariant gauges. Adapting the formalism developed in the first part, ST identities, and the corresponding BRST symmetry are derived. However, the explicit form of the BRST symmetry is not stable under renormalization. The BRST symmetry implies a more general, quadratic master equation, also called Zinn-Justin (ZJ) equation, satisfied by the quantized action, equation in which gauge and BRST symmetries are no longer explicit. By contrast, in the case of renormalizable gauges, the ZJ equation is stable under renormalization, and its solution yields the general form of the renormalized gauge action.

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"RENORMALIZATION OF NON-ABELIAN GAUGE THEORIES." In World Scientific Lecture Notes in Physics. WORLD SCIENTIFIC, 1990. http://dx.doi.org/10.1142/9789812799272_0019.

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Zinn-Justin, Jean. "The non-perturbative renormalization group." In From Random Walks to Random Matrices. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198787754.003.0009.

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Chapter 9 focuses on the non–perturbative renormalization group. Many renormalization group (RG) results are derived within the framework of the perturbative RG. However, this RG is the asymptotic form in some neighbourhood of a Gaussian fixed point of the more general and exact RG, as introduced by Wilson and Wegner, and valid for rather general effective field theories. Chapter 9 describes the corresponding functional RG equations and give some indications about their derivation. A basic role is played by a method of partial field integration, which preserves the locality of the field theory. Note that functional RG equations can also be used to give alternative proofs of perturbative renormalizability within the framework of effective field theories.

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Zinn-Justin, Jean. "Abelian gauge theories: The framework of quantum electrodynamics (QED)." In Quantum Field Theory and Critical Phenomena. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198834625.003.0021.

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This chapter is devoted Abelian gauge theory, whose physical realization is quantum electrodynamics (QED). Since many textbooks deal extensively with QED, the chapter focusses mainly on the more formal properties of Abelian gauge theories. First, the free massive vector field is considered, because its quantization does not immediately follow from the quantization of the scalar field, and thus requires a specific analysis. If the vector field is coupled to a conserved current, it is possible to construct a field theory with fermion matter renormalizable in four dimensions. In this case, a massless vector limit can be defined, and the corresponding field theory is gauge invariant. To directly quantize a gauge theory starting directly from first principles, it is necessary to introduce gauge fixing. The formal equivalence between different gauges is established. The Abelian gauge symmetry, broken by gauge-fixing terms, leads to a set of Ward–Takahashi (WT) identities which are used to prove the renormalizability of the quantum field theory (QFT). Renormalization group (RG) equations follow, and the RG β-function is calculated at leading order. As an introduction to the Standard Model of particle physics, the Abelian Landau–Ginzburg–Higgs model is described, where the gauge field is coupled to a complex scalar field with a non-zero expectation value, leading to a model that classically also describes a superconductor in a magnetic field.

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Conference papers on the topic "Renormalization on non-renormalizable theories"

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ANSELMI, D. "ABSENCE OF HIGHER DERIVATIVES IN THE RENORMALIZATION OF PROPAGATORS IN NON-RENORMALIZABLE THEORIES." In Proceedings of the 2002 International Workshop. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812795120_0031.

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VACARU, SERGIU I. "COVARIANT RENORMALIZABLE GRAVITY THEORIES ON (NON) COMMUTATIVE TANGENT BUNDLES." In Proceedings of the MG13 Meeting on General Relativity. WORLD SCIENTIFIC, 2015. http://dx.doi.org/10.1142/9789814623995_0398.

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Aoki, Ken-Ichi, Daisuke Sato, and Kazuhiro Miyashita. "A New Method of Evaluating the Dynamical Chiral Symmetry Breaking Scale and the Chiral Restoration Temperature in General Gauge Theories by Using the Non-Perturbative Renormalization Group Analyses with General 4-Fermi Effective Interaction Space." In Proceedings of the Workshop in Honor of Toshihide Maskawa's 70th Birthday and 35th Anniversary of Dynamical Symmetry Breaking in SCGT. WORLD SCIENTIFIC, 2011. http://dx.doi.org/10.1142/9789814329521_0051.

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Sakamoto, Makoto, Mitsuhiro Kato, and Hiroto So. "Non-renormalization theorem and cyclic Leibniz rule in lattice supersymmetry." In The 32nd International Symposium on Lattice Field Theory. Sissa Medialab, 2015. http://dx.doi.org/10.22323/1.214.0274.

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Honda, Masazumi, Goro Ishiki, Sang-Woo Kim, Jun Nishimura, and Asato Tsuchiya. "Supersymmetry non-renormalization theorem from a computer and the AdS/CFT correspondence." In The XXVIII International Symposium on Lattice Field Theory. Sissa Medialab, 2011. http://dx.doi.org/10.22323/1.105.0253.

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Reports on the topic "Renormalization on non-renormalizable theories"

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Hiller, Gudrun. Strong-Weak CP Hierarchy from Non-Renormalization Theorems. Office of Scientific and Technical Information (OSTI), 2002. http://dx.doi.org/10.2172/798953.

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