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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

We generalize and extend a quantization procedure proposed by the present authors which is designed to quantize SU(N) gauge theories in the continuum without fixing the gauge and thereby avoid the Gribov problem. In particular we discuss…

High Energy Physics - Theory · Physics 2016-09-06 G B Tupper , F G Scholtz

A few issues on gluon confinement are addressed with the help of a renormalizable gauge model obtained by introducing a replica of the Faddeev-Popov action and a soft breaking of the BRST symmetry. Confinement turns out to be encoded in the…

High Energy Physics - Theory · Physics 2011-08-23 Silvio Paolo Sorella

Gauge fixing in general is incomplete, such that one solves some of the gauge constraints, quantizes, then imposes any residual gauge symmetries (Gribov copies) on the wavefunctions. While the Fadeev-Popov determinant keeps track of the…

High Energy Physics - Lattice · Physics 2009-10-22 James E. Hetrick

We show that, for an $SU(2)$ gauge field (the reasoning extends trivially to $SU(N)$), spontaneous symmetry breaking changes the field cohomology. This defines a new field with cohomological properties characteristic of matter fields.…

High Energy Physics - Theory · Physics 2026-05-08 V. E. R. Lemes

In the absence of Gribov complications, the modified gauge fixing in gauge theory $ \int{\cal D}A_{\mu}\{\exp[-S_{YM}(A_{\mu})-\int f(A_{\mu})dx] /\int{\cal D}g\exp[-\int f(A_{\mu}^{g})dx]\}$ for example, $f(A_{\mu})=(1/2)(A_{\mu})^{2}$, is…

High Energy Physics - Theory · Physics 2009-10-31 Kazuo Fujikawa , Hiroaki Terashima

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…

High Energy Physics - Theory · Physics 2019-12-03 Thitipat Sainapha

First, we present a simple confining abelian pure gauge theory. Classically, its kinetic term is not positive definite, and it contains a simple UV regularized F^4 interaction. This provoques the formation of a condensate ~ F^2 such that,…

High Energy Physics - Theory · Physics 2011-09-13 U. Ellwanger , N. Wschebor

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…

High Energy Physics - Lattice · Physics 2009-10-28 G. S. Bali , V. Bornyakov , M. Mueller Preussker , K. Schilling

We discuss an attempt to understand confinement and dynamical symmetry breaking in a 4-dimensional non-supersymmetric gauge theory using S-duality in type IIB string theory. The electric theory is a USp(2n) gauge theory and its magnetic…

High Energy Physics - Theory · Physics 2013-01-03 Shigeki Sugimoto

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…

High Energy Physics - Theory · Physics 2015-06-26 Giampiero Esposito , Diego N. Pelliccia , Francesco Zaccaria

The gauge-fixing problem of modified cubic open superstring field theory is discussed in detail both for the Ramond and Neveu-Schwarz sectors in the Batalin-Vilkovisky (BV) framework. We prove for the first time that the same form of action…

High Energy Physics - Theory · Physics 2012-03-03 Maiko Kohriki , Taichiro Kugo , Hiroshi Kunitomo

The standard Faddeev Popov gauge fixing procedure is put on solid grounds by taking into account a topological factor which corrects for the number of Gribov copies within the first Gribov horizon. Zwanziger's stochastic approach to gauge…

High Energy Physics - Lattice · Physics 2007-05-23 Kurt Langfeld

We introduce a simple scenario where, by starting with a five-dimensional SU(3) gauge theory, we end up with several 4-D parallel branes with localized fermions and gauge fields. Similar to the split fermion scenario, the confinement of…

High Energy Physics - Theory · Physics 2009-11-11 Gonzalo A. Palma

We discuss a solution of the equations of motion of five-dimensional gauged type IIB supergravity that describes confining SU(N) gauge theories at large N and large 't Hooft parameter. We prove confinement by computing the Wilson loop, and…

High Energy Physics - Theory · Physics 2010-02-03 L. Girardello , M. Petrini , M. Porrati , A. Zaffaroni

The issue of the BRST symmetry in presence of the Gribov horizon is addressed in Euclidean Yang-Mills theories in the Landau gauge. The positivity of the Faddeev-Popov operator within the Gribov region enables us to convert the soft…

High Energy Physics - Theory · Physics 2009-08-12 S. P. Sorella

Within the framework of gauge mediated supersymmetry breaking, we consider an electroweak symmetry breaking pattern in which there is no conventional $\mu$ term. The pattern is made appealing through realizing it as low energy effective…

High Energy Physics - Phenomenology · Physics 2009-10-31 Chun Liu

A new approach to gauge fixed Yang-Mills theory is derived using the Polyakov-Susskind projection techniques to build gauge invariant states. In our approach, in contrast to the Faddeev-Popov method, the Gribov problem does not prevent the…

High Energy Physics - Lattice · Physics 2009-06-25 Kurt Langfeld , Tom Heinzl , Anton Ilderton , Martin Lavelle , David McMullan

In this Letter we use the Julia-Toulouse approach for condensation of defects in order to obtain an effective confinement theory for external chromoelectric probe charges in SU(3) gauge theory in the regime with condensed chromomagnetic…

High Energy Physics - Theory · Physics 2012-03-29 L. S. Grigorio , M. S. Guimaraes , R. Rougemont , C. Wotzasek

The existence of gauge (Gribov) copies disturbs the usual Faddeev-Popov quantization procedure in the Landau gauge. It is a very hard job to treat these in the continuum, even in a partial manner. A decent way to do so was worked out by…

High Energy Physics - Theory · Physics 2011-07-14 D. Dudal , N. Vandersickel , H. Verschelde , S. P. Sorella
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