Lattice gauge theory without link variables

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...

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Detalles Bibliográficos
Autores principales: Vairinhos, Hélvio, de Forcrand, Philippe
Lenguaje:eng
Publicado: 2014
Materias:
Particle Physics - Lattice
Acceso en línea:https://dx.doi.org/10.1007/JHEP12(2014)038
http://cds.cern.ch/record/1951631
Descripción
Sumario: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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