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Building on the principle of combinatorial gauge symmetry, lattice gauge theories can be formulated with only one- and two-body interactions that ensure the exact realization of the symmetry rather than its approximate emergence in a…

Strongly Correlated Electrons · Physics 2024-11-07 Hongji Yu , Dmitry Green , Claudio Chamon

Owing to subtle issues concerning quantum fluctuations and gauge fixing, a formulation of a general procedure to specify the realization of non-Abelian gauge symmetry has evaded all earlier attempts. In this Letter, we discuss these…

High Energy Physics - Theory · Physics 2009-09-25 Hoi-Kwong Lo

The quantization of Yang-Mills theories relies on the gauge-fixing procedure. However, in the non-Abelian case this procedure leads to the well known Gribov ambiguity. In order to solve the ambiguity a modification of the functional…

High Energy Physics - Theory · Physics 2013-08-27 Marco de Cesare

Lattice gauge theories are fundamental to such distinct fields as particle physics, condensed matter or quantum information theory. The recent progress in the control of artificial quantum systems already allows for studying Abelian lattice…

Quantum Physics · Physics 2021-06-30 Valentin Kasper , Torsten V. Zache , Fred Jendrzejewski , Maciej Lewenstein , Erez Zohar

Gauge fixing is a frequent task encountered in practical lattice gauge theory calculations. We review the performance characteristics of some standard gauging procedures for non-abelian gauge theories, implemented on the parallel machines…

High Energy Physics - Lattice · Physics 2007-05-23 H. Suman , K. Schilling

We present an algorithm for simulation of $SU(2)$ lattice gauge theory under the MA gauge and first numerical results for the theory without abelian monopoles. The results support the idea that nonperturbative interaction arises between…

High Energy Physics - Lattice · Physics 2008-02-03 S. Yu. Shmakov , A. M. Zadorozhny

It is well accepted that dealing with the Gribov ambiguity has a major impact on correlation functions in gauge-fixed Yang-Mills theories, in particular in the low momentum regime where standard perturbation theory based on the…

High Energy Physics - Theory · Physics 2014-02-25 M. A. L. Capri , D. Dudal , M. S. Guimaraes , I. F. Justo , S. P. Sorella , D. Vercauteren

The inclusion of a mass-like term for the gluon in Yang-Mills theories quantized in the Landau gauge has proven to be an effective way of reproducing lattice results for gauge-fixed correlation functions within perturbative computations.…

High Energy Physics - Theory · Physics 2026-03-20 D. M. van Egmond , L. C. Ferreira , A. D. Pereira , G. Peruzzo , S. P. Sorella

A gauge condition is presented here to quantize non-Abelian gauge theory on the manifold $R\otimes S^{1}\otimes S^{1}\otimes S^{1}$, which is free from the Gribov ambiguity. Perturbative calculations in the new gauge behave like the axial…

High Energy Physics - Theory · Physics 2017-01-20 Gao-Liang Zhou , Zheng-Xin Yan , Xin-Zhang

In this Letter, we construct a set of order parameters for non-Abelian gauge theories which probe directly the unbroken group and are free of the deficiencies caused by quantum fluctuations and gauge fixing which have plagued all previous…

High Energy Physics - Theory · Physics 2009-09-25 Hoi-Kwong Lo

An approximate procedure for performing nonperturbative calculations in quantum field theories is presented. The focus will be quantum non-Abelian gauge theories with the goal of understanding some of the open questions of these theories…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Dzhunushaliev , D. Singleton , T. Nikulicheva

The one loop effective potential for a non-Abelian gauge configuration is analyzed using the background field method. The Savvidy result and the non-Abelian ansatz, the other alternative possible background that generates a constant color…

High Energy Physics - Lattice · Physics 2007-05-23 A. R. Levi

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

High Energy Physics - Lattice · Physics 2007-05-23 Massimo Testa

In this paper, a proposal for the restriction of the Euclidean functional integral to a region free of infinitesimal Gribov copies in linear covariant gauges is discussed. An effective action, akin to the Gribov-Zwanziger action of the…

High Energy Physics - Theory · Physics 2015-10-06 M. A. L. Capri , A. D. Pereira , R. F. Sobreiro , S. P. Sorella

We present results for the fundamental string tension in SU(2) lattice gauge theory after projection to maximal abelian and direct maximal center gauges. We generate 20 Gribov copies/configuration. Abelian and center projected string…

High Energy Physics - Lattice · Physics 2009-10-31 John D. Stack , William W. Tucker

Nonabelian gauge theories with a generic background field A_mu in nonlinear gauges due to Delbourgo and Jarvis are investigated. The A_mu-dependence is completely determined by the help of a linear differential equation which obtaines from…

High Energy Physics - Theory · Physics 2007-05-23 B. Geyer , D. M"ulsch

We have calculated the running coupling in SU(2), SU(3), and SU(4) gauge theories to see whether they have infrared fixed points. An infrared fixed point means no confinement: It means that the long-distance physics is conformal, without a…

High Energy Physics - Lattice · Physics 2013-01-10 Benjamin Svetitsky

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…

High Energy Physics - Theory · Physics 2013-01-16 Julien Serreau

We discuss the formal structure of a functional measure for Gauge Theories preserving the Slavnov-Taylor identity in the presence of Gribov horizons. Our construction defines a gauge-fixed measure in the framework of the lattice…

High Energy Physics - Theory · Physics 2007-05-23 C. Becchi , S. Giusto , C. Imbimbo

Analytic calculations in the infrared regime of nonabelian gauge theories are hampered by the presence of Gribov copies which results in some ambiguity in the gauge-fixing procedure. This problem shares strong similarities with the issue of…

High Energy Physics - Theory · Physics 2018-07-25 Matthieu Tissier