Spontaneous Breaking of Symmetry in Moyal Spacetime with Twisted Poincare Symmetry

Journal Article · Tue Dec 15 00:00:00 EST 2009 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3284375· OSTI ID:21371369

Govindarajan, T R ^[1]

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1. Institute of Mathematical Sciences, C I T Campus, Taramani, Chennai 600 113 (India)

After briefly reviewing the gauge symmetry in Moyal spacetimes, we analyse aspects of symmetry breaking within a quantisation program preserving the twisted Poincare symmetry. We develop the LSZ approach for Moyal spacetimes and derive a mapping for scattering amplitudes on these spacetimes from the corresponding ones on the commutative spacetime. This map 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.

• OSTI ID: 21371369
• Journal Information: AIP Conference Proceedings, Vol. 1196, Issue 1; Conference: 25. Max Born symposium, Wroclaw (Poland), 29 Jun - 3 Jul 2009; Other Information: DOI: 10.1063/1.3284375; (c) 2009 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
GAUGE INVARIANCE
LIE GROUPS
QUANTIZATION
SCATTERING AMPLITUDES
SPACE-TIME
SPACE-TIME MODEL
STANDARD MODEL
SYMMETRY
SYMMETRY BREAKING
AMPLITUDES
CLUSTER EMISSION MODEL
FIELD THEORIES
GRAND UNIFIED THEORY
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
MULTIPERIPHERAL MODEL
PARTICLE MODELS
PERIPHERAL MODELS
QUANTUM FIELD THEORY
SYMMETRY GROUPS
UNIFIED GAUGE MODELS