Spontaneous symmetry breaking in twisted noncommutative quantum theories

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dc.contributor.author Balachandran, Aiyalan P.
dc.contributor.author Govindarajan, Thupil R.
dc.contributor.author Vaidya, Sachindeo
dc.date.accessioned 2010-02-18T16:27:53Z
dc.date.available 2010-02-18T16:27:53Z
dc.date.issued 2009-05-15
dc.identifier.bibliographicCitation Physical Review D 79, 105020 (2009)
dc.identifier.issn 1550-7998 (Print)
dc.identifier.issn 1550-2368 (Online)
dc.identifier.uri http://hdl.handle.net/10016/6934
dc.description 9 pages, no figures.-- PACS nrs.: 11.10.Nx, 11.30.Cp.-- ArXiv pre-print available at: http://arxiv.org/abs/0901.1712v4.pdf
dc.description.abstract We analyze aspects of symmetry breaking for Moyal spacetimes within a quantization scheme which preserves the twisted Poincaré 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.
dc.description.sponsorship The work of APB is supported in part by US-DOE under grant number DE-FG02-85ER40231 and the Universidad Carlos III de Madrid. The work of APB and TRG are supported by the DST CP-STIO program.
dc.format.mimetype text/html
dc.language.iso eng
dc.publisher The American Physical Society
dc.rights © The American Physical Society
dc.subject.other [PACS] Noncommutative field theory
dc.subject.other [PACS] Lorentz and Poincaré invariance
dc.subject.other Gauge fields
dc.subject.other Non-Commutative Geometry
dc.subject.other Twisted Poincaré symmetry
dc.title Spontaneous symmetry breaking in twisted noncommutative quantum theories
dc.type article
dc.type.review PeerReviewed
dc.description.status Publicado
dc.relation.publisherversion http://dx.doi.org/10.1103/PhysRevD.79.105020
dc.subject.eciencia Matemáticas
dc.identifier.doi 10.1103/PhysRevD.79.105020
dc.rights.accessRights openAccess
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