We derive the one-loop effective potential for the vacuum expectation values of the toroidal gauge field components where the spacetime is (d-n)-dimensional Minkowski space times an n-dimensional torus. The minima of this potential determine the gauge group holonomy over the torus and subsequently the symmetry-breaking pattern. We analyze in detail this behavior for the group SU(2) on R1,1×T2 as the boundary conditions of the fermions and the lengths of the toroidal circumferences vary.
Relation:
Physical Review D (Particles and Fields) 40(12), pp.4085-4091
