Gauged O(n) spin models in one dimension

Details Gauged O(n) spin models in one dimension Gauged O(n) spin models in one dimension

1998-12-15

arxiv.org/abs/hep-lat/9812013v1

Phys.Rev. D60 (1999) 037503

Physics

High Energy Physics

High Energy Physics - Lattice

9 pages, no figures, LaTeX source

Scientific paper

10.1103/PhysRevD.60.037503

We consider a gauged O(n) spin model, n >= 2, in one dimension which contains both the pure O(n) and RP(n-1) models and which interpolates between them. We show that this model is equivalent to the non-interacting sum of the O(n) and Ising models. We derive the mass spectrum that scales in the continuum limit, and demonstrate that there are two universality classes, one of which contains the O(n) and RP(n-1) models and the other which has a tuneable parameter but which is degenerate in the sense that it arises from the direct sum of the O(n) and Ising models.

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