Spontaneous breaking of symmetry in Moyal spacetime with twisted Poincaré symmetry

Details Spontaneous breaking of symmetry in Moyal spacetime with twisted Poincaré symmetry Spontaneous breaking of symmetry in Moyal spacetime with twisted Poincaré symmetry

2009-08-27

arxiv.org/abs/0908.3940v1

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, Talk at Max Born symposium, 2009

Scientific paper

After briefly reviewing the gauge symmetry in Moyal spacetimes, we analyse aspects of symmetry breaking within a quantisation program preserving the twisted Poincar\'e 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.

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