scholarly journals Gauge fixing and mass renormalization in the lattice gauge theory

1977 ◽  
Vol 16 (8) ◽  
pp. 2612-2627 ◽  
Author(s):  
Belal E. Baaquie
Keyword(s):  
Gauge Theory ◽  
Lattice Gauge Theory ◽  
Mass Renormalization ◽  
Lattice Gauge ◽  
Gauge Fixing

Boundary conditions, gauge fixing ambiguities and exact expectation values in U(1) lattice gauge theory

2016 ◽  
Vol 31 (08) ◽  
pp. 1650035
Author(s):  
Carlos Pinto
Keyword(s):  
Gauge Theory ◽  
Boundary Conditions ◽  
Weak Coupling ◽  
Lattice Gauge Theory ◽  
Exact Results ◽  
Feynman Gauge ◽  
Lattice Gauge ◽  
Coupling Approximation ◽  
Gauge Fixing ◽  
Weak Coupling Approximation

We analyze the interplay between gauge fixing and boundary conditions in two-dimensional U(1) lattice gauge theory. We show on the basis of a general argument that periodic boundary conditions result in an ill-defined weak coupling approximation but that the approximation can be made well-defined if the boundaries are fixed to zero. We confirm this result in the particular case of the Feynman gauge. We show that the zero momentum mode divergence in the propagator that appears in the Feynman gauge vanishes when the weak coupling approximation is well-defined. In addition we obtain exact results (for arbitrary coupling), including finite size corrections, for the partition function and for general one-point and two-point functions in the axial gauge under both periodic and zero boundary conditions and confirm these results numerically. The dependence of these objects on both lattice size and coupling constant is investigated using specific examples. These exact results may provide insight into similar gauge fixing issues in more complex models.

scholarly journals Dirac sheets and gauge fixing in U(1) lattice gauge theory

1993 ◽  
Vol 317 (4) ◽  
pp. 596-603 ◽  
Author(s):  
V.G. Bornyakov ◽  
V.K. Mitrjushkin ◽  
M. Müller-Preussker ◽  
F. Pahl
Keyword(s):  
Gauge Theory ◽  
Lattice Gauge Theory ◽  
Lattice Gauge ◽  
Gauge Fixing

scholarly journals New algorithm for gauge fixing in SU(2) lattice gauge theory

1995 ◽  
Vol 42 (1-3) ◽  
pp. 852-854 ◽  
Author(s):  
G.S. Bali ◽  
V. Bornyakov ◽  
M. Müller-Preussker ◽  
F. Pahl
Keyword(s):  
Gauge Theory ◽  
Lattice Gauge Theory ◽  
Lattice Gauge ◽  
Gauge Fixing

Gauge fixing in U(1) lattice gauge theory

1994 ◽  
Vol 34 ◽  
pp. 802-804
Author(s):  
V.G. Bornyakov ◽  
V.K. Mitrjushkin ◽  
M. Müller-Preussker ◽  
F. Pahl
Keyword(s):  
Gauge Theory ◽  
Lattice Gauge Theory ◽  
Lattice Gauge ◽  
Gauge Fixing

Gauge-fixing ambiguities in SU(3) lattice gauge theory

1991 ◽  
Vol 20 ◽  
pp. 199-202 ◽  
Author(s):  
Enzo Marinari ◽  
Roberto Ricci ◽  
Claudio Parrinello
Keyword(s):  
Gauge Theory ◽  
Lattice Gauge Theory ◽  
Lattice Gauge ◽  
Gauge Fixing

scholarly journals PJLZ gauge-fixing approach in SU(2) lattice gauge theory

JETP Letters ◽  
2001 ◽  
Vol 74 (11) ◽  
pp. 532-534 ◽  
Author(s):  
V. K. Mitrjushkin ◽  
A. I. Veselov
Keyword(s):  
Gauge Theory ◽  
Lattice Gauge Theory ◽  
Lattice Gauge ◽  
Gauge Fixing
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