Spontaneous symmetry breaking in twisted noncommutative quantum theories

Balachandran, AP and Govindarajan, TR and Vaidya, Sachindeo (2009) Spontaneous symmetry breaking in twisted noncommutative quantum theories. In: Physical Review D, 79 (10).

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Abstract

We analyze aspects of symmetry breaking for Moyal spacetimes within a quantization scheme which preserves the twisted Poincare´ symmetry. Towards this purpose, we develop the Lehmann-Symanzik- Zimmermann (LSZ) approach for Moyal spacetimes. The latter gives a formula for scattering amplitudes on these spacetimes which can be obtained from the corresponding ones on the commutative spacetime. This formula applies in the presence of spontaneous breakdown of symmetries as well. We also derive Goldstone’s theorem on Moyal spacetime. The formalism developed here can be directly applied to the twisted standard model.

Item Type:	Journal Article
Publication:	Physical Review D
Publisher:	The American Physical Society
Additional Information:	Copyright of this article belongs to The American Physical Society.
Department/Centre:	Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited:	11 Dec 2009 12:07
Last Modified:	19 Sep 2010 05:35
URI:	http://eprints.iisc.ac.in/id/eprint/20986

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