scholarly journals Gribov horizon and Gribov copies effect in lattice Coulomb gauge

2017 ◽  
Vol 95 (1) ◽  
Author(s):  
Giuseppe Burgio ◽  
Markus Quandt ◽  
Hugo Reinhardt ◽  
Hannes Vogt
Keyword(s):  
Coulomb Gauge ◽  
Gribov Copies

scholarly journals Coulomb gauge Gribov copies and the confining potential

2007 ◽  
Vol 76 (11) ◽  
Author(s):  
Thomas Heinzl ◽  
Kurt Langfeld ◽  
Martin Lavelle ◽  
David McMullan
Keyword(s):  
Coulomb Gauge ◽  
Confining Potential ◽  
Gribov Copies

scholarly journals GAUGE-INVARIANT FIELDS IN THE TEMPORAL GAUGE, COULOMB-GAUGE FIELDS, AND THE GRIBOV AMBIGUITY

2001 ◽  
Vol 16 (16) ◽  
pp. 2789-2815 ◽  
Author(s):  
KURT HALLER
Keyword(s):  
Physical State ◽  
Equations Of Motion ◽  
Coulomb Gauge ◽  
Gauge Fields ◽  
Gauge Invariant ◽  
Equal Time ◽  
Temporal Gauge ◽  
Equal Time Commutation ◽  
Gribov Ambiguity ◽  
Gribov Copies

We examine the relation between Coulomb-gauge fields and the gauge-invariant fields constructed in the temporal gauge for two-color QCD by comparing a variety of properties, including their equal-time commutation rules and those of their conjugate chromoelectric fields. We also express the temporal-gauge Hamiltonian in terms of gauge-invariant fields and show that it can be interpreted as a sum of the Coulomb-gauge Hamiltonian and another part that is important for determining the equations of motion of temporal-gauge fields, but that can never affect the time evolution of "physical" state vectors. We also discuss multiplicities of gauge-invariant temporal-gauge fields that belong to different topological sectors and that, in a previous work, were shown to be based on the same underlying gauge-dependent temporal-gauge fields. We argue that these multiplicities of gauge-invariant fields are manifestations of the Gribov ambiguity. We show that the differential equation that bases the multiplicities of gauge-invariant fields on their underlying gauge-dependent temporal-gauge fields has nonlinearities identical to those of the "Gribov" equation, which demonstrates the nonuniqueness of Coulomb-gauge fields. These multiplicities of gauge-invariant fields — and, hence, Gribov copies — appear in the temporal gauge, but only with the imposition of Gauss' law and the implementation of gauge invariance; they do not arise when the theory is represented in terms of gauge-dependent fields and Gauss' law is left unimplemented.

scholarly journals Study of Gribov copies in a Yang-Mills ensemble

2021 ◽  
Vol 103 (11) ◽  
Author(s):  
D. Fiorentini ◽  
D. R. Junior ◽  
L. E. Oxman ◽  
G. M. Simões ◽  
R. F. Sobreiro
Keyword(s):  
Yang Mills ◽  
Gribov Copies

scholarly journals The Non-Relativistic Many-Body Quantum-Mechanical Hamiltonian with Diamagnetic Current-Current Interaction

2021 ◽  
Author(s):  
Ladislaus Alexander Bányai
Keyword(s):  
Solid State ◽  
Analogous Result ◽  
Charged Particles ◽  
Coulomb Gauge ◽  
Quantum Mechanical ◽  
Photon Propagator ◽  
Coulomb Interactions ◽  
Many Body ◽  
Transverse Current ◽  
Current Interaction

AbstractWe extend the standard solid-state quantum mechanical Hamiltonian containing only Coulomb interactions between the charged particles by inclusion of the (transverse) current-current diamagnetic interaction starting from the non-relativistic QED restricted to the states without photons and neglecting the retardation in the photon propagator. This derivation is supplemented with a derivation of an analogous result along the non-rigorous old classical Darwin-Landau-Lifshitz argumentation within the physical Coulomb gauge.

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.

Yang-Mills vacuum in the Coulomb gauge within an effective model

1989 ◽  
Vol 40 (8) ◽  
pp. 2692-2696 ◽  
Author(s):  
P. Besting ◽  
D. Schütte
Keyword(s):  
Coulomb Gauge ◽  
Effective Model ◽  
Yang Mills

scholarly journals Yang-Mills wave functional in Coulomb gauge

2005 ◽  
Vol 71 (10) ◽  
Author(s):  
H. Reinhardt ◽  
C. Feuchter
Keyword(s):  
Coulomb Gauge ◽  
Yang Mills
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