Details
| Original language | English |
|---|---|
| Article number | 020 |
| Journal | Journal of high energy physics |
| Volume | 2007 |
| Issue number | 9 |
| Publication status | Published - 1 Sept 2007 |
Abstract
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, Non-commutative geometry, Solitons monopoles and instantons
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Journal of high energy physics, Vol. 2007, No. 9, 020, 01.09.2007.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Quantum aspects of the noncommutative Sine-Gordon model
AU - Kürkçüoglu, Seçkin
AU - Lechtenfeld, Olaf
N1 - Copyright: Copyright 2007 Elsevier B.V., All rights reserved.
PY - 2007/9/1
Y1 - 2007/9/1
N2 - 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.
AB - 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.
KW - Integrable field theories
KW - Non-commutative geometry
KW - Solitons monopoles and instantons
UR - http://www.scopus.com/inward/record.url?scp=34948853702&partnerID=8YFLogxK
U2 - 10.1088/1126-6708/2007/09/020
DO - 10.1088/1126-6708/2007/09/020
M3 - Article
AN - SCOPUS:34948853702
VL - 2007
JO - Journal of high energy physics
JF - Journal of high energy physics
SN - 1126-6708
IS - 9
M1 - 020
ER -