Crossover from strong to weak coupling in lattice gauge theory with dynamical fermions

1985 ◽  
Vol 31 (12) ◽  
pp. 3304-3306 ◽  
Author(s):  
J. B. Kogut ◽  
J. Polonyi ◽  
H. W. Wyld ◽  
D. K. Sinclair
Keyword(s):  
Gauge Theory ◽  
Weak Coupling ◽  
Lattice Gauge Theory ◽  
Lattice Gauge

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 The transition from strong coupling to weak coupling in the SU(2) lattice gauge theory

1981 ◽  
Vol 101 (3) ◽  
pp. 173-179 ◽  
Author(s):  
C.B. Lang ◽  
C. Rebbi ◽  
P. Salomonson ◽  
B.S. Skagerstam
Keyword(s):  
Gauge Theory ◽  
Strong Coupling ◽  
Weak Coupling ◽  
Lattice Gauge Theory ◽  
Lattice Gauge

On the link between strong and weak coupling expansions for the SU(2) lattice gauge theory

1981 ◽  
Vol 190 (4) ◽  
pp. 782-790 ◽  
Author(s):  
M. Falcioni ◽  
E. Marinari ◽  
M.L. Paciello ◽  
G. Parisi ◽  
B. Taglienti
Keyword(s):  
Gauge Theory ◽  
Weak Coupling ◽  
Lattice Gauge Theory ◽  
Lattice Gauge
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