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Renormalization of noncommutative quantum field theories

de Queiroz, Amilcar R and Srivastava, Rahul and Vaidya, Sachindeo (2013) Renormalization of noncommutative quantum field theories. In: Physical Review D, 87 (6). 064014_1-064014_19.

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Official URL: http://dx.doi.org/10.1103/PhysRevD.87.064014

Abstract

We report on a comprehensive analysis of the renormalization of noncommutative phi(4) scalar field theories on the Groenewold-Moyal plane. These scalar field theories are twisted Poincare invariant. Our main results are that these scalar field theories are renormalizable, free of UV/IR mixing, possess the same fixed points and beta-functions for the couplings as their commutative counterparts. We also argue that similar results hold true for any generic noncommutative field theory with polynomial interactions and involving only pure matter fields. A secondary aim of this work is to provide a comprehensive review of different approaches for the computation of the noncommutative S-matrix: noncommutative interaction picture and noncommutative Lehmann-Symanzik-Zimmermann formalism. DOI: 10.1103/PhysRevD.87.064014

Item Type: Journal Article
Additional Information: Copyright of this article belongs to American Physical Society.
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Depositing User: Francis Jayakanth
Date Deposited: 10 Apr 2013 06:58
Last Modified: 10 Apr 2013 06:58
URI: http://eprints.iisc.ac.in/id/eprint/46305

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