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THE BOSONIC SIGMA MODEL ON A TOROIDAL SURFACE

D. G. C. McKEON

Department of Applied Mathematics, University of Western Ontario, London, Canada N6A 5B7, Canada

https://doi.org/10.1142/S0217751X04018208Cited by:0 (Source: Crossref)

Abstract

The nonlinear sigma model with a two-dimensional basis space and an n-dimensional target space is considered. Two different basis spaces are considered; the first is an 0(2)×0(2) subspace of the 0(2,2) projective space related to the Minkowski basis space, and the other is a toroidal space embedded into three-dimensional Euclidean space, characterized by radii R and r. The target space is taken to be an arbitrarily curved Riemannian manifold. One-loop dependence on the renormalization induced scale μ is shown in the toroidal basis space to be the same as in a flat or spherical basis space.

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