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Spontaneous symmetry breaking at two loop in 3-d massless scalar electrodynamics

Tan, PN
Tekin, Bayram
Hosotani, Y
In three-dimensional Maxwell-Chem-Simons massless scalar electrodynamics with phi(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 Chem-Simons scalar electrodynamics. The beta function for the phi(6) coupling is independent of gauge couplings.