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Physical Review D
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Physical Review D
Article . 2009 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2009
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Spontaneous symmetry breaking in twisted noncommutative quantum theories

Authors: Balachandran, AP; Govindarajan, TR; Vaidya, Sachindeo;

Spontaneous symmetry breaking in twisted noncommutative quantum theories

Abstract

We analyse aspects of symmetry breaking for Moyal spacetimes within a quantisation scheme which preserves the twisted Poincaré symmetry. Towards this purpose, we develop the 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.

+13 pages; minor changes in references,To appear in Phys Rev D

Country
India
Keywords

High Energy Physics - Theory, Matemáticas, FOS: Physical sciences, [PACS] Lorentz and Poincaré invariance, High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), High Energy Physics - Theory (hep-th), Twisted Poincaré symmetry, [PACS] Noncommutative field theory, Gauge fields, Non-Commutative Geometry, Centre for High Energy Physics

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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