Lattice gauge theory without link variables
Helvio Vairinhos, Philippe de Forcrand
TL;DR
This paper introduces a novel representation of lattice gauge theory's partition function by exactly integrating out link variables and expressing it as a Gaussian integral over auxiliary fields, simplifying analysis.
Contribution
It presents a new method using Hubbard-Stratonovich transformations to reformulate lattice gauge theory without link variables, enabling exact integration.
Findings
Partition function expressed as Gaussian integral over auxiliary fields
Exact integration of all link variables achieved
Provides an alternative formulation for pure SU(N) or U(N) lattice gauge theory
Abstract
We obtain a sequence of alternative representations for the partition function of pure SU(N) or U(N) lattice gauge theory with the Wilson plaquette action, using the method of Hubbard-Stratonovich transformations. In particular, we are able to integrate out all the link variables exactly, and recast the partition function of lattice gauge theory as a Gaussian integral over auxiliary fields.
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