Spontaneous Symmetry Breaking at Two Loop in 3-d Massless Scalar Electrodynamics

Pang-Ning Tan; Bayram Tekin; Yutaka Hosotani

doi:10.1016/S0370-2693(96)01191-4

paper

Spontaneous Symmetry Breaking at Two Loop in 3-d Massless Scalar Electrodynamics

arXiv:hep-th/9607233 · doi:10.1016/S0370-2693(96)01191-4

Abstract

In three dimensional Maxwell-Chern-Simons massless scalar electrodynamics with $ϕ^{6}$ coupling, the $U (1)$ symmetry is spontaneously broken at two loop order regardless of the presence or absence of the Maxwell term. Dimensional transmutation takes place in pure Chern-Simons scalar electrodynamics. The beta function for the $ϕ^{6}$ coupling is independent of gauge couplings.

15 pages. LaTex. Theorem 3 is added