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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
Collections
Department of Physics, Article
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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.