Quantum aspects of the noncommutative Sine-Gordon model

Download

10.1088.1126-6708.2007.09.020.pdf

Date

2007-09-01

Author

Kürkcüoğlu, Seçkin

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

185
views

134
downloads

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

Suggestions

OpenMETU
Core

Noncommutative nonlinear sigma models and integrability Kürkcüoğlu, Seçkin (American Physical Society (APS), 2008-09-01) We first review the result that the noncommutative principal chiral model has an infinite tower of conserved currents and discuss the special case of the noncommutative CP1 model in some detail. Next, we focus our attention to a submodel of the CP1 model in the noncommutative spacetime A(theta)(R2+1). By extending a generalized zero-curvature representation to A(theta)(R2+1) we discuss its integrability and construct its infinitely many conserved currents. A supersymmetric principal chiral model with and wi...
Strong coupling constants of decuplet baryons with vector mesons Alıyev, Tahmasıb; Savcı, Mustafa (American Physical Society (APS), 2010-11-10) We provide a comprehensive study of strong coupling constants of decuplet baryons with light nonet vector mesons in the framework of light cone QCD sum rules. Using the symmetry arguments, we argue that all coupling constants entering the calculations can be expressed in terms of only one invariant function even if the SU(3)(f) symmetry breaking effects are taken into account. We estimate the order of SU(3)(f) symmetry violations, which are automatically considered by the employed approach.
Edge currents in non commutative Chern Simons theory from a new matrix model BALACHANDRAN, Aiyalam P; GUPTA, Kumar S; Kürkcüoğlu, Seçkin (Springer Science and Business Media LLC, 2003-09-01) This paper discusses the formulation of the non-commutative Chern-Simons (CS) theory where the spatial slice, an infinite strip, is a manifold with boundaries. As standard *-products are not correct for such manifolds, the standard non-commutative CS theory is not also appropriate here. Instead we formulate a new finite-dimensional matrix CS model as an approximation to the CS theory on the strip. A work which has points of contact with ours is due to Lizzi, Vitale and Zampini where the authors obtain a des...
HIGHER-DERIVATIVE EFFECTIVE YANG-MILLS THEORY AND STATIC SPHERICALLY SYMMETRICAL FIELD CONFIGURATIONS BASKAL, S; DERELI, T (IOP Publishing, 1993-04-01) The variational field equations and the covariantly conserved energy-momentum tensor of a higher-derivative effective Yang-Mills theory are given. A class of static spherically symmetric gauge field configurations that follow from the Wu-Yang ansatz is considered.
Delta pi N coupling constant in light come QCD sum rules Gokalp, A; Yılmaz, Osman (IOP Publishing, 1999-12-01) We employ the light cone QCD sum rules to calculate Delta pi N coupling constant by studying the two-point correlation function between the vacuum and the pion state. Our result is consistent with the traditional QCD sum rules calculations and it is in agreement with the experimental value.

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.