Maxwell-Chern-Simons Scalar Electrodynamics at Two Loop

Details Maxwell-Chern-Simons Scalar Electrodynamics at Two Loop Maxwell-Chern-Simons Scalar Electrodynamics at Two Loop

1997-03-17

arxiv.org/abs/hep-th/9703121v2

Nucl.Phys. B502 (1997) 483-515

Physics

High Energy Physics

High Energy Physics - Theory

53 pages. 6 figures included. Several important typos are corrected

Scientific paper

10.1016/S0550-3213(97)00495-1

The Maxwell-Chern-Simons gauge theory with charged scalar fields is analyzed at two loop level. The effective potential for the scalar fields is derived in the closed form, and studied both analytically and numerically. It is shown that the U(1) symmetry is spontaneously broken in the massless scalar theory. Dimensional transmutation takes place in the Coleman-Weinberg limit in which the Maxwell term vanishes. We point out the subtlety in defining the pure Chern-Simons scalar electrodynamics and show that the Coleman-Weinberg limit must be taken after renormalization. Renormalization group analysis of the effective potential is also given at two loop.

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