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

Tan, Pang-Ning; Tekin, Bayram; Hosotani, Yutaka

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

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

Jul, 1996

14 pages

Published in:

Phys.Lett.B 388 (1996) 611-620

e-Print:

hep-th/9607233 [hep-th]

DOI:

10.1016/S0370-2693(96)01191-4

Report number:

UMN-TH-1505-96

View in:

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Abstract:

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.

Note:

15 pages. LaTex. Theorem 3 is added

gauge field theory: U(1)
Chern-Simons term
dimension: 3
phi**n model: 6
spontaneous symmetry breaking
perturbation theory: higher-order
effective potential

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