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.
Highlights
JHEP12(2014)038 to be tractable with reweighting methods
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
In order to approach the regime of continuum physics, it would be desirable to have a simpler MDP model of lattice QCD for arbitrary values of the lattice coupling
Summary
The Boltzmann weight of the partition function (2.2) can be expressed as a Gaussian integral over diagonal links: e−S4 = e−2βNP eβ 2N. The Boltzmann weight of the partition function (2.13) can be expressed as a Gaussian integral over folded links: e−S2. Where N = e−3βNP is a normalization factor, γ β [R] ≡ x,μ=ν γ β (Rx,μν ) is a product of Gaussian measures, Tr[Q†Q] ≡ x,μ
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