Quantum Aspects of the Noncommutative Sine-Gordon Model

Details Quantum Aspects of the Noncommutative Sine-Gordon Model Quantum Aspects of the Noncommutative Sine-Gordon Model

2007-08-09

arxiv.org/abs/0708.1310v2

JHEP 0709:020,2007

Physics

High Energy Physics

High Energy Physics - Theory

1+14 pages, 8 eps figures, Added references, Version to appear in JHEP

Scientific paper

10.1088/1126-6708/2007/09/020

In this paper, we first use semi-classical methods to study quantum field theoretical aspects of the integrable noncommutative sine-Gordon model proposed in [hep-th/0406065]. In particular, we examine the fluctuations at quadratic order around the static kink solution using the background field method. We derive equations of motion for the fluctuations and argue that at O(theta^2) the spectrum of fluctuations remains essentially the same as that of the corresponding commutative theory. We compute the one-loop two-point functions of the sine-Gordon field and the additional scalar field present in the model and exhibit logarithmic divergences, only some of which lead to UV/IR mixing. We briefly discuss the one-loop renormalization in Euclidean signature and comment on the obstacles in determining the noncommutativity corrections to the quantum mass of the kink.

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