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We study the Gribov problem in four-dimensional topological Yang-Mills theories following the Baulieu-Singer approach in the (anti-)self-dual Landau gauges. This is a gauge-fixed approach that allows to recover the topological spectrum, as…

高能物理 - 理论 · 物理学 2020-07-15 D. Dudal , C. P. Felix , O. C. Junqueira , D. S. Montes , A. D. Pereira , G. Sadovski , R. F. Sobreiro , A. A. Tomaz

The Gribov problem in the presence of a background field is analyzed: in particular, we study the Gribov copies equation in the Landau-De Witt gauge as well as the semi-classical Gribov gap equation. As background field, we choose the…

高能物理 - 理论 · 物理学 2017-03-14 Fabrizio Canfora , Diego Hidalgo , Pablo Pais

We review the status of quantising (non-abelian) gauge theories using different versions of a Hamiltonian formulation corresponding to Dirac's instant and front form of dynamics, respectively. In order to control infrared divergences we…

高能物理 - 理论 · 物理学 2007-05-23 Thomas Heinzl

In this paper, we discuss non-perturbative infrared features of Yang-Mills theory in Euclidean space-time dimensions greater than four in the Landau gauge and within the Refined Gribov-Zwanziger framework, which enables us to take into…

高能物理 - 理论 · 物理学 2016-12-28 M. S. Guimaraes , A. D. Pereira , S. P. Sorella

In this paper, we take into account the Gribov copies present in 3D Yang-MIlls-Higgs theory with a constant vector background whose presence breaks the Lorentz symmetry. The constant vector background is introduced within the non-Abelian…

高能物理 - 理论 · 物理学 2021-05-07 D. R. Granado , A. J. G. Carvalho , A. Yu. Petrov , D. Vercauteren

Gribov ambiguity is a problem that arises when we try to single out the physical gauge degree of freedom in non-Abelian gauge theory by imposing the covariant gauge constraint. Unfortunately, the solution of the gauge constraint is not…

高能物理 - 理论 · 物理学 2019-12-03 Thitipat Sainapha

The issue of the Gribov copies is discussed in Euclidean N=4 Super Yang-Mills theory quantized in the Landau gauge. As a consequence of the absence of a renormalization group invariant scale, it turns out that it is not possible to attach a…

高能物理 - 理论 · 物理学 2014-07-29 M. A. L. Capri , M. S. Guimaraes , I. F. Justo , L. F. Palhares , S. P. Sorella

The understanding of the non-perturbative regime of YM theories remains a challenging open problem in theoretical physics. Notably, a satisfactory description of the confinement of gluons is not at our disposal so far. In this thesis, the…

高能物理 - 理论 · 物理学 2016-07-04 A. D. Pereira

We propose a new one-parameter family of Landau gauges for Yang-Mills theories which can be formulated by means of functional integral methods and are thus well suited for analytic calculations, but which are free of Gribov ambiguities and…

高能物理 - 理论 · 物理学 2015-06-04 Julien Serreau , Matthieu Tissier

We propose a modified version of the Faddeev-Popov quantization approach for non-Abelian gauge field theory to avoid the Gribov ambiguity. We show that by means of introducing a new method to insert the correct identity into the Yang-Mills…

高能物理 - 理论 · 物理学 2021-09-22 Chong-yao Chen , Fei Gao , Yu-xin Liu

Fixing a gauge in the non-perturbative domain of Yang-Mills theory is a non-trivial problem due to the presence of Gribov copies. In particular, there are different gauges in the non-perturbative regime which all correspond to the same…

高能物理 - 格点 · 物理学 2009-01-27 Axel Maas

We consider Yang-Mills theories in a recently proposed family of nonlinear covariant gauges that consistently deals with the issue of Gribov ambiguities. Such gauges provide a generalization of the Curci-Ferrari-Delbourgo-Jarvis gauges…

高能物理 - 理论 · 物理学 2015-11-11 Julien Serreau , Matthieu Tissier , Andréas Tresmontant

In recent years, the effects of removing infinitesimal Gribov copies from the path integral of gauge-fixed Yang-Mills-Chern-Simons theories formulated in three-dimensional Euclidean space have been investigated. Part of the interest resides…

高能物理 - 理论 · 物理学 2025-02-06 Daniel O. R. Azevedo , Antonio D. Pereira

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…

高能物理 - 理论 · 物理学 2025-01-28 Antonio D. Pereira

We study the Gribov problem within a Hamiltonian formulation of pure Yang-Mills theory. For a particular gauge fixing, a finite volume modification of the axial gauge, we find an exact characterization of the space of gauge-inequivalent…

高能物理 - 理论 · 物理学 2009-10-30 T. Heinzl

Given the path of a point particle, one can relate its acceleration and, in general, its kinematics to the curvature scalars of its trajectory. Using this, a general Ansatz is made for the Yang Mills connection corresponding to a…

高能物理 - 理论 · 物理学 2009-11-07 Ozgur Sarioglu

The Gribov-Zwanziger framework accounting for the existence of Gribov copies is extended to N=1 Super Yang--Mills theories quantized in the Landau gauge. We show that the restriction of the domain of integration in the Euclidean functional…

高能物理 - 理论 · 物理学 2014-07-29 M. A. L. Capri , D. R. Granado , M. S. Guimaraes , I. F. Justo , L. F. Palhares , S. P. Sorella , D. Vercauteren

An alternative method to account for the Gribov ambiguities in gauge theories is presented. It is shown that, to eliminate Gribov ambiguities, at infinitesimal level, it is required to break the BRST symmetry in a soft manner. This can be…

高能物理 - 理论 · 物理学 2013-10-03 A. D. Pereira , R. F. Sobreiro

Recently, based on a new procedure to quantize the theory in the continuum, it was argued that Singer's theorem points towards the existence of a Yang-Mills ensemble. In the new approach, the gauge fields are mapped into an auxiliary field…

高能物理 - 理论 · 物理学 2021-06-16 D. Fiorentini , D. R. Junior , L. E. Oxman , G. M. Simões , R. F. Sobreiro

The functional-integral quantization of non-Abelian gauge theories is affected by the Gribov problem at non-perturbative level: the requirement of preserving the supplementary conditions under gauge transformations leads to a non-linear…

高能物理 - 理论 · 物理学 2015-06-26 Giampiero Esposito , Diego N. Pelliccia , Francesco Zaccaria
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