Compactification in deconstructed gauge theory with topologically non-trivial link fields

Abstract

We investigate the mass spectrum of a scalar field in a world with latticized and circular continuum space where background fields takes a topological configuration. We find that the mass spectrum is related to the characteristic values of Mathieu functions. The gauge symmetry breaking in a similar spacetime is also discussed.

Comments: 10 pages, 1 eps figure, needs ReVTeX4