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Journal of High Energy Physics Volume 2007 JHEP09(2007) Create an alert RSS this journal

Seçkin Kürkçüoglu and Olaf Lechtenfeld JHEP09(2007)020 doi:10.1088/1126-6708/2007/09/020

Quantum aspects of the noncommutative Sine-Gordon model

Seçkin Kürkçüoglu and Olaf Lechtenfeld

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Abstract References Cited By
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.

Keywords

Integrable Field Theories

Solitons Monopoles and Instantons

Non-Commutative Geometry

 

E-print Number: 0708.1310

Cited: by |

Refers: to

PACS

11.10.Nx Noncommutative field theory

11.10.Lm Nonlinear or nonlocal theories and models

11.10.Gh Renormalization

Subjects

Particle physics and field theory

Dates

Issue 09 (September 2007)

Received 15 August 2007, accepted for publication 16 August 2007

Published 3 September 2007



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