One-loop effects in a self-dual planar noncommutative theory

2007/10/31 by C. D. Fosco, C.D Fosco, G. A. Moreno +1 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1088/1126-6708/2007/11/046

published as JHEP0711:046,2007 · Version to appear in JHEP

openalex publication_date 2007/11/15 · arxiv created 2007/11/16 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We study the UV properties, and derive the explicit form of the one-loop effective action, for a noncommutative complex scalar field theory in 2+1 dimensions with a Grosse-Wulkenhaar term, at the self-dual point. We also consider quantum effects around non-trivial minima of the classical action which appear when the potential allows for the spontaneous breaking of the U(1) symmetry. For those solutions, we show that the one-loop correction to the vacuum energy is a function of a special combination of the amplitude of the classical solution and the coupling constant.

Cited by

• Dirichlet boundary conditions in a noncommutative theory
• Casimir effect in (2+1)-dimensional noncommutative theories

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