Balachandran, Aiyalan P.Govindarajan, Thupil R.Vaidya, Sachindeo2010-02-182010-02-182009-05-15Physical Review D 79, 105020 (2009)1550-7998 (Print)1550-2368 (Online)https://hdl.handle.net/10016/69349 pages, no figures.-- PACS nrs.: 11.10.Nx, 11.30.Cp.-- ArXiv pre-print available at: http://arxiv.org/abs/0901.1712v4.pdfWe 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.text/htmleng© The American Physical Society[PACS] Noncommutative field theory[PACS] Lorentz and Poincaré invarianceGauge fieldsNon-Commutative GeometryTwisted Poincaré symmetryresearch articleMatemáticas10.1103/PhysRevD.79.105020open access