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arXiv · 0710.0818

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

C. D. Fosco·G. A. Moreno
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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.

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C. D. Fosco, G. A. Moreno. 2007-11-16. One-loop effects in a self-dual planar noncommutative theory. https://doi.org/10.1088/1126-6708%2F2007%2F11%2F046

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