scholarly journals Yang-Mills theory in a modified axial gauge

1997 ◽  
Vol 55 (4) ◽  
pp. 2331-2346 ◽  
Author(s):  
H. Reinhardt
Keyword(s):  
Yang Mills ◽  
Axial Gauge

scholarly journals CONSISTENT AXIAL-LIKE GAUGE FIXING ON HYPERTORI

1994 ◽  
Vol 09 (31) ◽  
pp. 2913-2926 ◽  
Author(s):  
EDWIN LANGMANN ◽  
MANFRED SALMHOFER ◽  
ALEX KOVNER
Keyword(s):  
Gauge Group ◽  
Discrete Group ◽  
Gauge Condition ◽  
Polyakov Loop ◽  
Gauge Transformations ◽  
Yang Mills ◽  
Axial Gauge ◽  
Gauge Fixing ◽  
Gribov Copies

We analyze the Gribov problem for SU (N) and U (N) Yang–Mills fields on d-dimensional tori, d = 2, 3, …. We give an improved version of the axial gauge condition and find an infinite, discrete group [Formula: see text] where r = N − 1 and N for G = SU (N) and U (N) respectively, containing all gauge transformations compatible with that condition. This residual gauge group [Formula: see text] provides all Gribov copies for nondegenerate configurations in d = 2 and for those of them for which all winding numbers of the Wilson–Polyakov loop in one direction vanish in d ≥ 3. This shows that the space of gauge orbits is an orbifold. We derive this result both in the Lagrangian and in the Hamiltonian framework.

EUCLIDEAN WILSON LOOP AND AXIAL GAUGE

1990 ◽  
Vol 05 (16) ◽  
pp. 3171-3192 ◽  
Author(s):  
G. NARDELLI ◽  
R. SOLDATI
Keyword(s):  
Gauge Invariance ◽  
Critical Analysis ◽  
Wilson Loop ◽  
Perturbative Expansion ◽  
Exponential Behavior ◽  
Cauchy Principal ◽  
Yang Mills ◽  
Axial Gauge ◽  
Principal Value ◽  
Set Up

A critical analysis is given in order to set up a well-defined perturbative expansion for Yang-Mills Euclidean theories within the axial gauge choice, using Cauchy principal value prescription to handle the spurious singularities. It is shown that, following a mathematically meaningful and unambiguous procedure, the exponential behavior of the Euclidean Wilson loop does not occur at variance with the covariant and planar gauge choices. A comparison with previous similar approaches and results is worked out in order to clearly understand the reasons for the breakdown of gauge invariance in the present case. In particular we can conclude that the so far proposed alternative prescriptions, which have been claimed to restore gauge invariance, should be carefully reexamined, at least for the Euclidean formulation.

Hamiltonian formulations of Yang–Mills theory and gauge ambiguity in quantization

2003 ◽  
Vol 81 (3) ◽  
pp. 545-554 ◽  
Author(s):  
P Bracken
Keyword(s):  
Path Integral ◽  
Integral Formulation ◽  
Quantum Level ◽  
Path Integral Formulation ◽  
Yang Mills ◽  
Axial Gauge ◽  
Gauge Fixing ◽  
The Subject ◽  
Gauge Ambiguity

A general formulation of the Hamiltonian in non-Abelian Yang–Mills theory is given. The subject of gauge-fixing ambiguity is investigated. It is shown how this type of degeneracy affects the Faddeev–Popov prescription for the corresponding path-integral formulation at the quantum level. A method for treating this problem is developed. The ideas are implemented by quantizing the theory in the axial gauge. PACS Nos.: 11.10Ef, 11.15-q, 11.15Tk

Ward identities in a general axial gauge. I. Yang-Mills theory

1982 ◽  
Vol 25 (4) ◽  
pp. 1002-1008 ◽  
Author(s):  
D. M. Capper ◽  
George Leibbrandt
Keyword(s):  
Ward Identities ◽  
Yang Mills ◽  
Axial Gauge

Extended BRS-symmetry and the axial gauge in pure Yang-Mills theories

1986 ◽  
Vol 175 (1) ◽  
pp. 53-56 ◽  
Author(s):  
P. Gaigg ◽  
O. Piguet ◽  
A. Rebhan ◽  
M. Schweda
Keyword(s):  
Yang Mills ◽  
Axial Gauge ◽  
Brs Symmetry
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