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A detailed discussion of the renormalization properties of a class of gauges which interpolates among the Landau, Coulomb and Maximal Abelian gauges is provided in the framework of the algebraic renormalization in Euclidean Yang-Mills…

高能物理 - 理论 · 物理学 2008-11-26 M. A. L. Capri , R. F. Sobreiro , S. P. Sorella , R. Thibes

In the present letter, a particular form of Slavnov-Taylor identities for the Curci-Ferrari model is deduced. This model consist of Yang-Mills theory in a particular non-linear covariant gauge, supplemented with mass terms for gluons and…

高能物理 - 理论 · 物理学 2010-10-27 Nicolas Wschebor

We discuss the renormalization group in the context of gravitational theories with independent metric and affine connection. Considering a class of theories with both propagating torsion and nonmetricity, we perform an explicit computation…

高能物理 - 理论 · 物理学 2024-06-21 Oleg Melichev

In this paper the stability and the renormalizability of Yang-Mills theory in the Background Field Gauge are studied. By means of Ward Identities of Background gauge invariance and Slavnov-Taylor Identities the stability of the classical…

高能物理 - 理论 · 物理学 2009-10-28 Pietro Antonio Grassi

The Refined Gribov-Zwanziger framework takes into account the existence of equivalent gauge field configurations in the gauge-fixing quantization procedure of Euclidean Yang-Mills theories. Recently, this setup was extended to the family of…

高能物理 - 理论 · 物理学 2017-09-27 M. A. L. Capri , D. Fiorentini , A. D. Pereira , S. P. Sorella

Massive renormalizable Yang-Mills theories in three dimensions are analysed within the algebraic renormalization in the Landau gauge. In analogy with the four dimensional case, the renormalization of the mass operator A^2 turns out to be…

高能物理 - 理论 · 物理学 2009-11-10 D. Dudal , J. A. Gracey , V. E. R. Lemes , R. F. Sobreiro , S. P. Sorella , H. Verschelde

We study the Connes-Kreimer Hopf algebra of renormalization in the case of gauge theories. We show that the Ward identities and the Slavnov-Taylor identities (in the abelian and non-abelian case respectively) are compatible with the Hopf…

高能物理 - 理论 · 物理学 2008-11-26 Walter D. van Suijlekom

We study the perturbative renormalization of quantum gauge theories in the Hopf algebra setup of Connes and Kreimer. It was shown by van Suijlekom (2007) that the quantum counterparts of gauge symmetries -- the so-called Ward--Takahashi and…

数学物理 · 物理学 2022-09-07 David Prinz

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…

高能物理 - 理论 · 物理学 2007-05-23 Stefano Arnone , Antonio Gatti , Tim R. Morris

The Caswell-Wilczek analysis on the gauge dependence of the effective action and the renormalization group functions in Yang-Mills theories is generalized to generic, possibly power counting non renormalizable gauge theories. It is shown…

高能物理 - 理论 · 物理学 2009-10-31 G. Barnich , P. A. Grassi

We study the formulation of the Wilson renormalization group (RG) method for a non-Abelian gauge theory. We analyze the simple case of $SU(2)$ and show that the local gauge symmetry can be implemented by suitable boundary conditions for the…

高能物理 - 理论 · 物理学 2009-10-22 M. Bonini , M. D'Attanasio , G. Marchesini

We take the manifestly gauge invariant exact renormalisation group previously used to compute the one-loop beta function in SU(N) Yang-Mills without gauge fixing, and generalise it so that it can be renormalised straightforwardly at any…

高能物理 - 理论 · 物理学 2008-11-26 Stefano Arnone , Tim R. Morris , Oliver J. Rosten

The renormalization of $\mathcal{N}=1$ Super Yang-Mills theory with the presence of the local composite operators $AA$, $A_\mu \gamma_\mu \lambda$ and $\bar{\lambda}\lambda$ is analyzed in the Wess-Zumino gauge, employing the Landau…

高能物理 - 理论 · 物理学 2018-06-11 R. C. Terin , M. A. L. Capri , S. P. Sorella , H. C. Toledo

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…

高能物理 - 理论 · 物理学 2025-06-10 Osvaldo Santillán , Alejandro Morano

We report on the work presented in Phys. Lett. B712 (2012) 97, where a new one-parameter family of Landau gauges has been proposed for Yang-Mills theories, inspired by an analogy with disordered systems in condensed matter physics. This is…

高能物理 - 理论 · 物理学 2013-01-16 Julien Serreau

We study the theory of noncommutative U(N) Yang-Mills field interacting with scalar and spinor fields in the fundamental and the adjoint representations. We include in the action both the terms describing interaction between the gauge and…

高能物理 - 理论 · 物理学 2009-11-07 I. L. Buchbinder , V. A. Krykhtin

Exact Renormalization Group techniques are applied to supersymmetric models in order to get some insights into the low energy effective actions of such theories. Starting from the ultra-violet finite mass deformed N=4 supersymmetric…

高能物理 - 理论 · 物理学 2014-11-18 S. Arnone , S. Chiantese , K. Yoshida

It is shown that the gauge invariance and gauge dependence properties of effective action for Yang-Mills theories should be considered as two independent issues in the background field formalism. Application of this formalism to formulate…

高能物理 - 理论 · 物理学 2019-05-01 Peter M. Lavrov

We give a functional derivation of the Ward-Takahashi identity for Yang-Mills theory in the framework of the exact renormalization group. The identity realizes non-abelian gauge symmetry nontrivially despite the presence of a momentum…

高能物理 - 理论 · 物理学 2011-04-14 Yuji Igarashi , Katsumi Itoh , Hidenori Sonoda

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…

高能物理 - 理论 · 物理学 2010-02-05 Nicola Maggiore , Olivier Piguet , Sylvain Wolf