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 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 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.

The Gribov ambiguity in gauge theories on the four-torus

1984 ◽  
Vol 138 (1-3) ◽  
pp. 87-90 ◽  
Author(s):  
T.P. Killingback
Keyword(s):  
Gauge Theories ◽  
Gribov Ambiguity

scholarly journals Gribov ambiguity and non-trivial vacuum structure of gauge theories on a cylinder

1993 ◽  
Vol 303 (3-4) ◽  
pp. 303-307 ◽  
Author(s):  
Edwin Langmann ◽  
Gordon W. Semenoff
Keyword(s):  
Gauge Theories ◽  
Vacuum Structure ◽  
Gribov Ambiguity

Gribov ambiguity in gauge theories

Pramana ◽  
1989 ◽  
Vol 32 (4) ◽  
pp. 563-572 ◽  
Author(s):  
R Parthasarathy
Keyword(s):  
Gauge Theories ◽  
Gribov Ambiguity

scholarly journals The Gribov problem in noncommutative gauge theory

2018 ◽  
Vol 15 (07) ◽  
pp. 1850119 ◽  
Author(s):  
Maxim Kurkov ◽  
Patrizia Vitale
Keyword(s):  
Gauge Theory ◽  
Noncommutative Geometry ◽  
Infinite Number ◽  
Gauge Theories ◽  
Number Of Solutions ◽  
Abelian Gauge ◽  
Noncommutative Gauge Theory ◽  
Gribov Ambiguity ◽  
Gribov Copies ◽  
Noncommutative Parameter

After reviewing Gribov ambiguity of non-Abelian gauge theories, a phenomenon related to the topology of the bundle of gauge connections, we show that there is a similar feature for noncommutative QED over Moyal space, despite the structure group being Abelian, and we exhibit an infinite number of solutions for the equation of Gribov copies. This is a genuine effect of noncommutative geometry which disappears when the noncommutative parameter vanishes.

Geometry and Quantum Dynamics

2017 ◽  
Author(s):  
Laurent Baulieu ◽  
John Iliopoulos ◽  
Roland Sénéor
Keyword(s):  
General Relativity ◽  
Quantum Dynamics ◽  
Gauge Theories ◽  
Brst Symmetry ◽  
Abelian Gauge ◽  
Yang Mills ◽  
History Of ◽  
Brst Invariance

A geometrical derivation of Abelian and non- Abelian gauge theories. The Faddeev–Popov quantisation. BRST invariance and ghost fields. General discussion of BRST symmetry. Application to Yang–Mills theories and general relativity. A brief history of gauge theories.

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