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

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

1996-07-30

arxiv.org/abs/hep-th/9607233v2

Phys.Lett. B388 (1996) 611-620

Physics

High Energy Physics

High Energy Physics - Theory

15 pages. LaTex. Theorem 3 is added

Scientific paper

In three dimensional Maxwell-Chern-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 Chern-Simons scalar electrodynamics. The beta function for the $\phi^6$ coupling is independent of gauge couplings.

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