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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…

高能物理 - 唯象学 · 物理学 2009-11-19 B. Holdom

Nonperturbative and lattice methods indicate that Gribov copies modify the infrared behavior of gauge theories and cause a suppression of gluon propagation. We investigate whether this can be implemented in a modified perturbation theory.…

高能物理 - 唯象学 · 物理学 2009-01-16 B. Holdom

The covariant gauges are known to suffer from the Gribov problem: even after fixing a gauge non-perturbatively, there may still exist residual copies which are physically equivalent to each other, called Gribov copies. While the influence…

高能物理 - 格点 · 物理学 2015-02-27 Dhagash Mehta , Mario Schröck

We study effects of Gribov copies in the Maximal Abelian gauge in $SU(3)$ lattice gluodynamics. We confirm earlier results that with effective gauge fixing algorithm one finds Gribov copies of the maximal Abelian gauge which produce about…

高能物理 - 格点 · 物理学 2024-09-04 I. E. Kudrov , V. G. Bornyakov

The standard techniques of gauge-fixing, such as covariant gauge fixing, are entirely adequate for the purposes of studies of perturbative QCD. However, they fail in the nonperturbative regime due to the presence of Gribov copies. These…

高能物理 - 格点 · 物理学 2015-06-25 A. G. Williams

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

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

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…

高能物理 - 理论 · 物理学 2014-08-22 A. D. Pereira , R. F. Sobreiro

We analyse the role of the Gribov ambiguity in the construction of physical charges in gauge theories. It is shown explicitly how the Gribov copies prevent the construction of physical coloured charges beyond perturbation theory. We also…

高能物理 - 理论 · 物理学 2008-11-26 Anton Ilderton

The quantisation of gauge invariant systems usually proceeds through some gauge fixing procedure of one type or another. Typically for most cases, such gauge fixings are plagued by Gribov ambiguities, while it is only for an admissible…

高能物理 - 理论 · 物理学 2008-11-26 Victor M. Villanueva , Jan Govaerts , Jose-Luis Lucio-Martinez

We fix $SU(2)$ lattice gauge fields to the Maximally Abelian gauge in both three and four dimensions. We extract the corresponding $U(1)$ fields and monopole current densities and calculate separately the confining string tensions arising…

高能物理 - 格点 · 物理学 2009-10-28 A. Hart , M. Teper

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…

高能物理 - 理论 · 物理学 2007-05-23 F. Loran

The existence of Gribov copies is a central feature of the field configuration space of confining gauge theories. In particular a transition between two Gribov copies with relative winding number implies a space-time configuration with…

高能物理 - 理论 · 物理学 2010-11-04 B. Holdom

We suggest a new (dynamical) Abelian projection of the lattice QCD. It contains no gauge condition imposed on gauge fields so that Gribov copying is avoided. Configurations of gauge fields that turn into monopoles in the Abelian projection…

高能物理 - 格点 · 物理学 2015-06-25 Sergei V. Shabanov

Some problems related to Gribov copies in lattice gauge-fixing and their possible solution are discussed.

高能物理 - 格点 · 物理学 2007-05-23 Massimo Testa

Gauge fixing and the observable fields for both abelian and non-abelian gauge theories with spontaneous breaking of gauge symmetry are studied. We explicitly show that it is possible to globally fix the gauge in the broken sector and hence…

高能物理 - 理论 · 物理学 2009-10-28 Martin Lavelle , David McMullan

In the modern formulation of lattice gauge-fixing, the gauge fixing condition is written in terms of the minima or stationary points (collectively called solutions) of a gauge-fixing functional. Due to the non-linearity of this functional,…

高能物理 - 格点 · 物理学 2013-02-06 Ciaran Hughes , Dhagash Mehta , Jon-Ivar Skullerud

A distinctive feature observed in lattice simulations of confining nonabelian gauge theories, such as Quantum Chromodynamics, is the presence of a dynamical mass for the gauge field in the low energy regime of the theory. In the…

高能物理 - 理论 · 物理学 2024-12-20 Bruno W. Mintz , Leticia F. Palhares , Giovani Peruzzo , Silvio P. Sorella

Gauge-fixed correlation functions are a valuable tool in intermediate steps when determining gauge-invariant physics. However, when obtaining them in different calculations, it is necessary to use exactly the same definition of the gauge to…

高能物理 - 理论 · 物理学 2012-01-06 Axel Maas

We perform a study of the effects from maximal abelian gauge Gribov copies in the context of the dual superconductor scenario of confinement, on the basis of a novel approach for estimation of systematic uncertainties from incomplete gauge…

高能物理 - 格点 · 物理学 2009-10-28 G. S. Bali , V. Bornyakov , M. Mueller Preussker , K. Schilling
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