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Three-dimensional Yang-Mills theory allows for a deformation quadratic in the field strengths which can not be integrated to a local action without auxiliary fields. Yet, its covariant divergence consistently vanishes after iterating the…

High Energy Physics - Theory · Physics 2022-07-22 Nihat Sadik Deger , Henning Samtleben

Gauge theories have been a cornerstone of the description of the world at the level of the fundamental particles. The Lagrangian or the action describing the corresponding interactions is invariant under certain gauge transformations. This…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Bashir , A. Raya

In this Letter we consider SU(2) Yang-Mills theory analysed in Cho-Faddeev-Niemi variables which remains invariant under local gauge transformations. The BRST symmetries of this theory is generalized by making the infinitesimal parameter…

High Energy Physics - Theory · Physics 2013-11-25 Sudhaker Upadhyay

In this proceeding, $SU(N)$ Yang-Mills theory is quantized in the linear covariant gauges, while taking into account the issue of Gribov copies and we construct the one-loop effective potential for a set of mass dimension 2 condensates,…

High Energy Physics - Phenomenology · Physics 2018-12-11 David Dudal , Caroline Felix , Leticia Palhares , François Rondeau , David Vercauteren

We find an explicit form for the Jacobian of arbitrary field-dependent BRST transformations in Yang-Mills theory. For the functional-integral representation of the (gauge-fixed) Yang-Mills vacuum functional, such transformations merely…

High Energy Physics - Theory · Physics 2015-06-15 Peter M. Lavrov , Olaf Lechtenfeld

We propose fundamental scale invariance as a new theoretical principle beyond renormalizability. Quantum field theories with fundamental scale invariance admit a scale-free formulation of the functional integral and effective action in…

High Energy Physics - Theory · Physics 2021-02-24 C. Wetterich

The perturbation theory over inverse interaction constant $1/g$ is constructed for Yang-Mills theory. It is shown that the new perturbation theory is free from the gauge ghosts and Gribov's ambiguities, each order over $1/g$ presents the…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. Manjavidze , A. Sissakian

We discuss the relation between spacetime diffeomorphisms and gauge transformations in theories of the Yang-Mills type coupled with Einstein's General Relativity. We show that local symmetries of the Hamiltonian and Lagrangian formalisms of…

General Relativity and Quantum Cosmology · Physics 2015-06-25 J. M. Pons , D. C. Salisbury , L. C. Shepley

We derive the two-loop effective action for covariantly constant field strength of pure Yang-Mills theory in the presence of an infrared scale. The computation is done in the framework of the worldline formalism, based on a generalization…

High Energy Physics - Theory · Physics 2011-06-24 Jan M. Pawlowski , Michael G. Schmidt , Jian-Hui Zhang

We study the low-energy effective actions for gauge superfields induced by quantum N=2 and N=4 supersymmetric matter fields in three-dimensional Minkowski space. Analyzing the superconformal invariants in the N=2 superspace we propose a…

High Energy Physics - Theory · Physics 2014-11-20 I. L. Buchbinder , N. G. Pletnev , I. B. Samsonov

We construct gauge invariant 1PI effective action for the NS sector of type II and heterotic string field theory. By construction, zero eigenvalues of the kinetic operator of this action determine the renormalized physical masses, and tree…

High Energy Physics - Theory · Physics 2015-01-06 Ashoke Sen

In this work we investigate the effects of the Gribov prescription to get rid of zero-modes of the Faddeev-Popov operator, at one-loop order in perturbation theory, in the Landau-DeWitt gauge. Quantum fluctuations are taken around a…

High Energy Physics - Theory · Physics 2020-11-04 O. C. Junqueira , I. F. Justo , D. S. Montes , A. D. Pereira , R. F. Sobreiro

The three fundamental geometric components of Yang-Mills theory -gauge field, gauge fixing and ghost field- are unified in a new object: an extended connection in a properly chosen principal fiber bundle. To do this, it is necessary to…

High Energy Physics - Theory · Physics 2008-11-26 G. Catren , J. Devoto

We suggest how to derive the exact (all order in $\a'$) expressions for the background fields for string solutions corresponding to gauged WZW models directly at the $2d$ field theory level. One is first to replace the classical gauged WZW…

High Energy Physics - Theory · Physics 2009-09-17 A. A. Tseytlin

We derive a generalized Nielsen identity for the case of Yang-Mills theories that include some classical fields. We discuss under which circumstances the effective action of the classical fields (i.e., after integration of quantum fields)…

High Energy Physics - Theory · Physics 2007-05-23 Sergio M. Iguri , Francisco D. Mazzitelli

We construct the gauge-invariant electric and magnetic charges in Yang-Mills theory coupled to cosmological General Relativity (or any other geometric gravity), extending the flat spacetime construction of Abbott and Deser. For…

High Energy Physics - Theory · Physics 2021-07-29 Emel Altas , Ercan Kilicarslan , Bayram Tekin

In this Letter we consider the perturbative quantum gravity on the super-manifold which remains invariant under absolutely anticommuting BRST and anti-BRST transformations. In addition to that the theory posses one more symmetry known as…

High Energy Physics - Theory · Physics 2013-06-10 Sudhaker Upadhyay

At first, we consider the path integral method for the covariant symmetry breaking in gravity. We replace the scalar fields, instead of the degrees of freedom which have been removed by gauge fixing constraints. Finally the specific ghost…

High Energy Physics - Theory · Physics 2015-09-08 Amin Akhavan

We consider noncommutative GUT inspired field theories formulated within the enveloping-algebra formalism for anomaly safe compact simple gauge groups. Our theories have only gauge fields and fermions, and we compute the UV divergent part…

High Energy Physics - Theory · Physics 2010-01-18 C. P. Martin , C. Tamarit

We develop a new operator quantization scheme for gauge theories in which the dynamics of the ghost sector is described by an N=2 supersymmetry. In this scheme no gauge condition is imposed on the gauge fields. The corresponding path…

High Energy Physics - Theory · Physics 2008-02-03 Frederik G Schotlz , Sergei V. Shabanov
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