Simulations of glueball spectra in SU(2) lattice gauge theory with twisted boundary conditions

1991 ◽  
Vol 356 (1) ◽  
pp. 318-331 ◽  
Author(s):  
P.W. Stephenson
Keyword(s):  
Gauge Theory ◽  
Boundary Conditions ◽  
Lattice Gauge Theory ◽  
Lattice Gauge ◽  
Twisted Boundary Conditions

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.

A NOTE ON INTERFACES WITH PERIODIC BOUNDARIES

1992 ◽  
Vol 03 (05) ◽  
pp. 889-896 ◽  
Author(s):  
B. BUNK
Keyword(s):  
Free Energy ◽  
Gauge Theory ◽  
Boundary Conditions ◽  
Periodic Boundary ◽  
Lattice Gauge Theory ◽  
Periodic Boundary Conditions ◽  
Large Area ◽  
Universal Form ◽  
Lattice Gauge ◽  
Numerical Coefficient

The partition funtion of a fluctuating interface is argued to approach a universal form at large area, including the numerical coefficient, provided that the interface has periodic boundary conditions und continuum behavior. This is demonstrated by explicit calculations, using effective actions with different regularisations. The result is applied to an analysis of the vortex free energy in SU(2) lattice gauge theory.

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