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Related papers: Gribov Problem and Stochastic Quantization

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In this paper, we analyze the quantization of Yang-Mills theory in the de Sitter spacetime. It is observed that the Faddeev--Popov ghost propagator is divergent in this spacetime. However, this divergence is removed by using an effective…

High Energy Physics - Theory · Physics 2024-06-28 Aasiya Shaikh , Mir Faizal , Naveed Ahmad Shah

We study the infrared behaviour of lattice SU(3) Yang-Mills theory in Coulomb gauge in terms of the ghost propagator, the Coulomb potential and the transversal and the time-time component of the equal-time gluon propagator. In particular,…

High Energy Physics - Lattice · Physics 2008-11-26 Aiko Voigt , Ernst-Michael Ilgenfritz , Michael Mueller-Preussker , Andre Sternbeck

We apply the antifield quantization method of Batalin and Vilkovisky to the calculation of the path integral for the Poisson-Sigma model in a general gauge. For a linear Poisson structure the model reduces to a nonabelian gauge theory, and…

High Energy Physics - Theory · Physics 2017-09-27 Allen C. Hirshfeld , Thomas Schwarzweller

We propose a generalization of the stochastic gauge fixing procedure for the stochastic quantization of gauge theories where not only the drift term of the stochastic process is changed but also the Wiener process itself. All gauge…

High Energy Physics - Theory · Physics 2009-10-30 Helmuth Huffel , Gerald Kelnhofer

We consider Yang-Mills theories quantized in the Landau gauge in the presence of the Gribov horizon via the refined Gribov Zwanziger (RGZ) framework. As the restriction of the gauge path integral to the Gribov region is taken into account,…

High Energy Physics - Theory · Physics 2018-02-28 B. W. Mintz , L. F. Palhares , S. P. Sorella , A. D. Pereira

We study gauge fixing in the generalized Gupta-Bleuler quantization. In this method physical states are defined to be simultaneous null eigenstates of a set of quantum invariants. We apply the method to a solvable model proposed by…

High Energy Physics - Theory · Physics 2007-05-23 F. Loran

We show that an explicit counting of Gribov copies can shed light on the infrared behavior of non-abelian gauge theories. A power-law growth of the number of copies suppresses gluon propagation while the distribution of copies along a gauge…

High Energy Physics - Phenomenology · Physics 2009-11-19 B. Holdom

A new fundamental form of the path integral for theories with local symmetry is introduced. It is utilised to construct effective actions that generate correlation functions of dressed fields in Yang-Mills theories and quantum gravity. The…

High Energy Physics - Theory · Physics 2025-05-20 Kevin Falls

The path integral is calculated for the statistical sum of the microcanonical ensemble in a generic time-parametrization invariant gravitational model with the Friedman-Robertson-Walker (FRW) metric. This represents the first example of a…

High Energy Physics - Theory · Physics 2011-09-28 A. O. Barvinsky

In a previous work, we presented a new method to account for the Gribov ambiguities in non-Abelian gauge theories. The method consists on the introduction of an extra constraint which directly eliminates the infinitesimal Gribov copies…

High Energy Physics - Theory · Physics 2014-08-22 A. D. Pereira , R. F. Sobreiro

We consider the covariant gauge field theory of fractons, which describe a new type of quasiparticles exhibiting novel and nontrivial properties. In particular, we focus on the field theoretical peculiarities which characterize this theory,…

High Energy Physics - Theory · Physics 2023-04-24 Erica Bertolini , Alberto Blasi , Andrea Damonte , Nicola Maggiore

Complete gauge-fixing beyond perturbation theory in non-Abelian gauge theories is a non-trivial problem. This is particularly evident in covariant gauges, where the Gribov-Singer ambiguity gives an explicit formulation of the problem. In…

High Energy Physics - Lattice · Physics 2016-03-15 Axel Maas

A deformation of pure Yang-Mill theory by a phantom field similar to the Faddeev-Popov ghost is considered. In this theory an {\em Ersatz}-supersymmetry is identified which results in cancellation of quantum corrections up to two-loop…

High Energy Physics - Theory · Physics 2021-08-11 Mikhail Shifman

We consider the implications of the condensation of a general local BRST invariant dimension two operator built out of the localizing ghost fields of the Gribov-Zwanziger Lagrangian which is a localized Lagrangian incorporating the Gribov…

High Energy Physics - Theory · Physics 2010-11-11 J. A. Gracey

We develop the method adjusting the Faddeev-Popov factorization procedure for the quantization of generic reducible gauge theories with linearly dependent generators and apply it to the first stage reducible model of second rank…

High Energy Physics - Theory · Physics 2025-07-15 A. O. Barvinsky , I. L. Buchbinder , V. A. Krykhtin , D. V. Nesterov

We analyze the problems with the so called gauge invariant quantization of the anomalous gauge field theories originary due to Faddeev and Shatashvili (FS). Our analysis bring to a generalization of FS method which allows to construct a…

High Energy Physics - Theory · Physics 2011-09-09 M. Martellini , K. Yoshida , M. Spreafico

As an extension of earlier work on QED, we construct a BRST-invariant Lagrangian for SU(N) Yang-Mills theory with fundamental matter, regulated by the inclusion of massive Pauli-Villars (PV) gluons and PV quarks. The underlying gauge…

High Energy Physics - Theory · Physics 2016-05-04 J. R. Hiller

Generalizing the Yang-Mills gauge theory, we provide the BV quantization of a field model with a generic almost-regular quadratic Lagrangian by use of the fact that the configuration space of such a field model is split into the…

High Energy Physics - Theory · Physics 2007-05-23 D. Bashkirov

The section condition of Double Field Theory has been argued to mean that doubled coordinates are gauged: a gauge orbit represents a single physical point. In this note, we consider a doubled and at the same time gauged particle action, and…

High Energy Physics - Theory · Physics 2020-02-11 Thomas Basile , Euihun Joung , Jeong-Hyuck Park

We investigate the low-order Green's functions of SU(N) Yang-Mills theory in Landau gauge, using a covariant variational principle based on the effective action formalism. Employing an approximation to the Faddeev-Popov determinant…

High Energy Physics - Theory · Physics 2014-04-02 Markus Quandt , Hugo Reinhardt , Jan Heffner