scholarly journals Gribov ambiguity and degenerate systems

2014 ◽  
Vol 90 (4) ◽  
Author(s):  
Fabrizio Canfora ◽  
Fiorenza de Micheli ◽  
Patricio Salgado-Rebolledo ◽  
Jorge Zanelli
Keyword(s):  
Gribov Ambiguity

scholarly journals GRIBOV PROBLEM FOR GAUGE THEORIES: A PEDAGOGICAL INTRODUCTION

2004 ◽  
Vol 01 (04) ◽  
pp. 423-441 ◽  
Author(s):  
GIAMPIERO ESPOSITO ◽  
DIEGO N. PELLICCIA ◽  
FRANCESCO ZACCARIA
Keyword(s):  
Cross Sections ◽  
Gauge Theories ◽  
Functional Integral ◽  
Point Of View ◽  
Spherically Symmetric ◽  
Abelian Gauge ◽  
Gauge Transformations ◽  
Recent Developments ◽  
Gribov Ambiguity ◽  
Gribov Copies

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 nonlinear differential equation, and the various solutions of such a nonlinear equation represent different gauge configurations known as Gribov copies. Their occurrence (lack of global cross-sections from the point of view of differential geometry) is called Gribov ambiguity, and is here presented within the framework of a global approach to quantum field theory. We first give a simple (standard) example for the SU(2) group and spherically symmetric potentials, then we discuss this phenomenon in general relativity, and recent developments, including lattice calculations.

scholarly journals Some remarks on the Gribov ambiguity

1978 ◽  
Vol 60 (1) ◽  
pp. 7-12 ◽  
Author(s):  
I. M. Singer
Keyword(s):  
Gribov Ambiguity

scholarly journals The Gribov legacy, gauge theories and the physical S-matrix

2016 ◽  
Vol 31 (28n29) ◽  
pp. 1645014
Author(s):  
Alan R. White
Keyword(s):  
Gauge Theory ◽  
Gauge Field ◽  
Crucial Role ◽  
Gauge Theories ◽  
Bound State ◽  
Abelian Gauge ◽  
Distant Future ◽  
S Matrix ◽  
Gribov Ambiguity

Reggeon unitarity and non-Abelian gauge field copies are focused on as two Gribov discoveries that, it is suggested, may ultimately be seen as the most significant and that could, in the far distant future, form the cornerstones of his legacy. The crucial role played by the Gribov ambiguity in the construction of gauge theory bound-state amplitudes via reggeon unitarity is described. It is suggested that the existence of a physical, unitary, S-Matrix in a gauge theory is a major requirement that could even determine the theory.

scholarly journals The (IR-)relevance of the Gribov ambiguity in SU(2)×U(1) gauge theories with fundamental Higgs matter

2014 ◽  
Vol 343 ◽  
pp. 72-86 ◽  
Author(s):  
M.A.L. Capri ◽  
D. Dudal ◽  
M.S. Guimaraes ◽  
I.F. Justo ◽  
S.P. Sorella ◽  
...  
Keyword(s):  
Gauge Theories ◽  
Gribov Ambiguity

scholarly journals Lifting the Gribov ambiguity in Yang–Mills theories

2012 ◽  
Vol 712 (1-2) ◽  
pp. 97-103 ◽  
Author(s):  
J. Serreau ◽  
M. Tissier
Keyword(s):  
Yang Mills ◽  
Gribov Ambiguity

scholarly journals Quantization of Yang–Mills theory without the Gribov ambiguity

2017 ◽  
Vol 766 ◽  
pp. 231-237 ◽  
Author(s):  
Gao-Liang Zhou ◽  
Zheng-Xin Yan ◽  
Xin Zhang
Keyword(s):  
Yang Mills ◽  
Gribov Ambiguity

scholarly journals Infrared behavior and Gribov ambiguity inSU(2)lattice gauge theory

2009 ◽  
Vol 79 (7) ◽  
Author(s):  
V. G. Bornyakov ◽  
V. K. Mitrjushkin ◽  
M. Müller-Preussker
Keyword(s):  
Gauge Theory ◽  
Lattice Gauge Theory ◽  
Infrared Behavior ◽  
Lattice Gauge ◽  
Gribov Ambiguity

A preliminary study of the Gribov ambiguity in lattice SU(3) Coulomb gauge

1991 ◽  
Vol 268 (2) ◽  
pp. 236-240 ◽  
Author(s):  
Claudio Parrinello ◽  
Silvano Petrarca ◽  
Anastassios Vladikas
Keyword(s):  
Coulomb Gauge ◽  
Preliminary Study ◽  
Gribov Ambiguity
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