Quantum aspects of the noncommutative Sine-Gordon model

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10.1088.1126-6708.2007.09.020.pdf

Date

2007-09-01

Author

Kürkcüoğlu, Seçkin

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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(θ2) 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.

Subject Keywords

Nuclear and High Energy Physics, Integrable Field Theories, Non-Commutative Geometry, Solitons Monopoles and Instantons

URI

https://hdl.handle.net/11511/40429

Journal

Journal of High Energy Physics

DOI

https://doi.org/10.1088/1126-6708/2007/09/020

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Department of Physics, Article

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Citation Formats

S. Kürkcüoğlu, “Quantum aspects of the noncommutative Sine-Gordon model,” Journal of High Energy Physics, pp. 0–0, 2007, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/40429.