A new anti-BRS symmetry of Yang-Mills theories in the axial gauge

1988 ◽  
Vol 100 (5) ◽  
pp. 713-722
Author(s):  
A. Rebhan
Keyword(s):  
Yang Mills ◽  
Axial Gauge ◽  
Brs Symmetry

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

scholarly journals BRS symmetry versus supersymmetry in Yang-Mills-Chem-Simons theory

1997 ◽  
Vol 486 (1-2) ◽  
pp. 443-465 ◽  
Author(s):  
F. Ruiz Ruiz ◽  
P. van Nieuwenhuizen
Keyword(s):  
Simons Theory ◽  
Yang Mills ◽  
Brs Symmetry

scholarly journals PERTURBATIVE QUANTUM GAUGE FIELDS ON THE NONCOMMUTATIVE TORUS

2000 ◽  
Vol 15 (07) ◽  
pp. 1011-1029 ◽  
Author(s):  
THOMAS KRAJEWSKI ◽  
RAIMAR WULKENHAAR
Keyword(s):  
Gauge Fields ◽  
Infrared Singularity ◽  
Noncommutative Torus ◽  
Yang Mills ◽  
Free Theory ◽  
Feynman Rules ◽  
Perturbative Quantum ◽  
The One ◽  
Brs Symmetry ◽  
Invariant Regularization

Using standard field theoretical techniques, we survey pure Yang–Mills theory on the noncommutative torus, including Feynman rules and BRS symmetry. Although in general free of any infrared singularity, the theory is ultraviolet divergent. Because of an invariant regularization scheme, this theory turns out to be renormalizable and the detailed computation of the one-loop counterterms is given, leading to an asymptotically free theory. Besides, it turns out that nonplanar diagrams are overall convergent when θ is irrational.

scholarly journals BRS and anti-BRS symmetry in topological Yang-Mills theory

1993 ◽  
Vol 392 (2) ◽  
pp. 369-384 ◽  
Author(s):  
Malcolm J. Perry ◽  
Edward Teo
Keyword(s):  
Yang Mills ◽  
Brs Symmetry

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.

LANDAU GAUGE AND ANTI-BRS SYMMETRY

1991 ◽  
Vol 06 (40) ◽  
pp. 3705-3710
Author(s):  
R. DORIA ◽  
F. RABELO DE CARVALHO ◽  
S. P. SORELLA
Keyword(s):  
Landau Gauge ◽  
Yang Mills ◽  
Independent Parameters ◽  
Brs Symmetry

By using the anti-BRS sysmmetry of the Landau gauge we study the renormalization of the Yang-Mills theory and we show that, in analogy with the BRS case, the model is only described by two independent parameters.

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

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
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