scholarly journals Continuum Limit and Renormalized Trajectory of Lattice Gauge Theory in Weak Coupling Expansions

1986 ◽  
Vol 76 (2) ◽  
pp. 512-520 ◽  
Author(s):  
S. Sakai ◽  
H. Iso
Keyword(s):  
Gauge Theory ◽  
Weak Coupling ◽  
Continuum Limit ◽  
Lattice Gauge Theory ◽  
Lattice Gauge

scholarly journals On the continuum limit of gauge-fixed compact U(1) lattice gauge theory

2004 ◽  
Vol 580 (3-4) ◽  
pp. 209-215 ◽  
Author(s):  
Subhasish Basak ◽  
Asit K De ◽  
Tilak Sinha
Keyword(s):  
Gauge Theory ◽  
Continuum Limit ◽  
Lattice Gauge Theory ◽  
Lattice Gauge ◽  
The Continuum

scholarly journals Lattice gauge theory and gluon color-confinement in curved spacetime

2015 ◽  
Vol 30 (05) ◽  
pp. 1550020 ◽  
Author(s):  
Kristian Hauser Villegas ◽  
Jose Perico Esguerra
Keyword(s):  
Gauge Theory ◽  
Continuum Limit ◽  
Lattice Gauge Theory ◽  
Covariant Form ◽  
Curved Spacetime ◽  
Color Confinement ◽  
Lattice Gauge ◽  
Frw Metric ◽  
Generally Covariant ◽  
The Continuum

The lattice gauge theory (LGT) for curved spacetime is formulated. A discretized action is derived for both gluon and quark fields which reduces to the generally covariant form in the continuum limit. Using the Wilson action, it is shown analytically that for a general curved spacetime background, two propagating gluons are always color-confined. The fermion-doubling problem is discussed in the specific case of Friedman–Robertson–Walker (FRW) metric. Last, we discussed possible future numerical implementation of lattice QCD in curved spacetime.

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.

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