O(N)-symmetric (2+1)-dimensional gauged φ6 theory with a Chern-Simons term
Abstract
I investigate the effects of the Chern-Simons coupling on high-energy behavior in (2+1)-dimensional U(1) gauged η(φ°φ)3 theory with a Chern-Simons term. The effective potential and the β function for η are calculated to the next-to-leading order of the 1/N expansion as functions of θ (the Chern-Simons coupling). For all θ, the theory is found to be driven to an instability region at high momenta. Radiative corrections to θ are briefly discussed.
- Publication:
-
Physical Review D
- Pub Date:
- May 1995
- DOI:
- 10.1103/PhysRevD.51.5958
- arXiv:
- arXiv:hep-th/9412057
- Bibcode:
- 1995PhRvD..51.5958P
- Keywords:
-
- 11.10.Kk;
- 11.10.Hi;
- 11.15.Pg;
- Field theories in dimensions other than four;
- Renormalization group evolution of parameters;
- Expansions for large numbers of components;
- High Energy Physics - Phenomenology;
- High Energy Physics - Theory
- E-Print:
- 9 pages, LaTex file