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Related papers: Renormalizability of Yang-Mills theory with Lorent…

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Previous investigations on the renormalizability properties of Lorentz-violating Yang-Mills (LVYM) theories in the Landau gauge have pointed out the necessity of the inclusion of a mass-like term for the gauge fields. If one aims at…

High Energy Physics - Theory · Physics 2025-01-28 Antonio D. Pereira

We study the BRST renormalization of an alternative formulation of the Yang-Mills theory, where the matrix-propagator of the gluon and the complementary fields is diagonal. This procedure involves scalings as well as non-linear mixings of…

High Energy Physics - Theory · Physics 2018-08-15 F T Brandt , J Frenkel , D G C McKeon

We consider some typical gauge models in the causal approach: Yang-Mills and pure massless gravity up to the second order of the perturbation theory. We prove that the loop contributions are coboundaries, up to super-renormalizable terms in…

High Energy Physics - Theory · Physics 2013-01-15 Dan-Radu Grigore

The renormalizable extension of a pure Yang-Mills theory with Lorentz violation is characterized by the CPT-Even $(k_F)_{\mu \nu \lambda \rho}$ and the CPT-Odd $(k_{AF})_\mu$ constant Lorentz coefficients. In this paper, the one-loop…

High Energy Physics - Phenomenology · Physics 2023-09-19 J. J. Toscano , O. Vázquez-Hernández

A manifestly gauge invariant exact renormalization group for pure SU(N) Yang-Mills theory is proposed, allowing gauge invariant calculations, without any gauge fixing or ghosts. The necessary gauge invariant regularisation which implements…

High Energy Physics - Theory · Physics 2007-05-23 Stefano Arnone , Antonio Gatti , Tim R. Morris

We give a complete, self-contained, and mathematically rigorous proof that Euclidean Yang-Mills theories are perturbatively renormalisable, in the sense that all correlation functions of arbitrary composite local operators fulfil suitable…

Mathematical Physics · Physics 2016-12-13 Markus B. Fröb , Jan Holland , Stefan Hollands

We consider the gauge invariance of the standard Yang-Mills model in the framework of the causal approach of Epstein-Glaser and Scharf and determine the generic form of the anomalies. The method used is based Epstein-Glaser approach to…

High Energy Physics - Theory · Physics 2007-05-23 Dan Radu Grigore

We raise the issue whether gauge theories, that are not renormalizable in the usual power-counting sense, are nevertheless renormalizable in the modern sense that all divergences can be cancelled by renormalization of the infinite number of…

High Energy Physics - Theory · Physics 2010-04-06 Joaquim Gomis , Steven Weinberg

In this work we present an algebraic proof of the renormazibility of the super-Yang-Mills action quantized in a generalized supersymmetric version of the maximal Abelian gauge. The main point stated here is that the generalized gauge…

High Energy Physics - Theory · Physics 2019-02-06 M. A. L. Capri , R. C. Terin , H. C. Toledo

We address the issue of the all order multiplicative renormalizability of SU(2) Yang-Mills theories quantized in the maximal Abelian gauge in presence of scalar matter fields. The non-linear character of the maximal Abelian gauge requires…

High Energy Physics - Theory · Physics 2015-06-10 M. A. L. Capri , D. Fiorentini , S. P. Sorella

We give a new description of classical Yang-Mills theory by coupling a two-dimensional chiral CFT (which gives the tree-level S-matrix of Yang-Mills theory at genus zero) to a background non-abelian gauge field. The resulting model is…

High Energy Physics - Theory · Physics 2018-10-31 Tim Adamo , Eduardo Casali , Stefan Nekovar

We extend the general framework of perturbative quantum field theory developped for the pure Yang-Mills model to gravity. First we present a variant of the elimination procedure of the anomalies in the second order of perturbation theory.…

High Energy Physics - Theory · Physics 2022-09-13 Dan-Radu Grigore

We provide N=1 Super Yang-Mills theory in the Wess-Zumino gauge with mass terms for the supersymmetric partners of the gauge fields and of the matter fields, together with a supersymmetric mass term for the fermionic matter fields. All mass…

High Energy Physics - Theory · Physics 2010-02-05 Nicola Maggiore , Olivier Piguet , Sylvain Wolf

We reconsider the renormalizability of topological Yang-Mills field theories in (anti-)self-dual Landau gauges. By employing algebraic renormalization techniques we show that there is only one independent renormalization. Moreover, due to…

High Energy Physics - Theory · Physics 2017-11-01 O. C. Junqueira , A. D. Pereira , G. Sadovski , R. F. Sobreiro , A. A. Tomaz

The $\mathcal{N}=1$ Super Yang-Mills theory in the presence of the local composite operator $A^2$ is analyzed in the Wess-Zumino gauge by employing the Landau gauge fixing condition. Due to the superymmetric structure of the theory, two…

High Energy Physics - Theory · Physics 2018-11-14 M. A. L. Capri , S. P. Sorella , R. C. Terin , H. C. Toledo

The renormalization of supersymmetric Yang-Mills theories with soft supersymmetry breaking is presented using spurion fields for introducing the breaking terms. It is proven that renormalization of the fields and parameters in the classical…

High Energy Physics - Phenomenology · Physics 2011-07-19 W. Hollik , E. Kraus , D. Stöckinger

We derive a manifestly gauge invariant low energy blocked action for Yang-Mills theory using operator cutoff regularization, a prescription which renders the theory finite with a regulating smearing function constructed for the proper-time…

High Energy Physics - Theory · Physics 2009-10-28 Sen-Ben Liao

In the present work, multiplicative renormalization \cite{dixon} for Yang-Mills theories is reviewed. While this subject is not new, it is suggested that a clear understanding of these methods leads to a systematic way for interpreting the…

High Energy Physics - Theory · Physics 2025-06-10 Osvaldo Santillán , Alejandro Morano

Studying the gauge-invariant renormalizability of four-dimensional Yang-Mills theory using the background field method and the BV-formalism, we derive a classical master-equation homogeneous with respect to the antibracket by introducing…

High Energy Physics - Theory · Physics 2020-01-16 Igor A. Batalin , Klaus Bering , Peter M. Lavrov , Igor V. Tyutin

Renormalizability of the (minimal) single-fermion QED extension is investigated at all orders of perturbation theory in the framework of algebraic renormalization, a regularization-independent method. Relative to the standard QED, new…

High Energy Physics - Theory · Physics 2015-06-04 O. M. Del Cima , J. M. Fonseca , D. H. T. Franco , A. H. Gomes , O. Piguet