Instabilities of noncommutative two dimensional BF model

Abstract

The noncommutative extension of two dimensional BF model is considered. It is shown that the realization of the noncommutative map via the Groenewold-Moyal star product leads to instabilities of the action, hence to a non renormalizable theory.

arXiv comment9 pages

References in corpus (3)

• Noncommutative Field Theory
• Quantum Field Theory on Noncommutative Spaces
• Infrared and Ultraviolet Finiteness of Topological BF Theory in Two Dimensions

Cited by in corpus (9)

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• A Vector Supersymmetry in Noncommutative U(1) Gauge Theory with the Slavnov Term
• On The Complete Seiberg-Witten Map For Theories With Topological Terms
• On Consistency Of Noncommutative Chern-Simons Theory
• Seiberg-Witten map for the 4D noncommutative BF theory
• General Solution Of Linear Vector Supersymmetry