scholarly journals Free energy for parameterized Polyakov loops in SU(2) and SU(3) lattice gauge theory

2012 ◽  
Vol 2012 (8) ◽  
Author(s):  
Dmitri Diakonov ◽  
Christof Gattringer ◽  
Hans-Peter Schadler
Keyword(s):  
Free Energy ◽  
Gauge Theory ◽  
Lattice Gauge Theory ◽  
Lattice Gauge ◽  
Polyakov Loops

ITERATIVE INVESTIGATION OF SU(2) LATTICE GAUGE THEORY

1988 ◽  
Vol 03 (07) ◽  
pp. 681-690
Author(s):  
WERNER KERLER
Keyword(s):  
Differential Equation ◽  
Free Energy ◽  
Asymptotic Behavior ◽  
Gauge Theory ◽  
Lattice Gauge Theory ◽  
Beta Function ◽  
The Other ◽  
Lattice Gauge ◽  
Iterative Roots

A recently developed method of continuous iteration, which forms iterative roots of convolutions and incorporates Migdal-Kadanoff rescaling by a differential equation, is used to investigate SU(2) theory on the renormalized trajectory over the whole range from one asymptotic behavior to the other. For d=4, beta function and free energy are calculated.

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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