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Spontaneous symmetry breaking in twisted noncommutative quantum theories

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URI: https://hdl.handle.net/10016/6934
ISSN: 1550-7998 (Print)
ISSN: 1550-2368 (Online)
DOI: 10.1103/PhysRevD.79.105020
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spontaneous_balachandran_prd_2009_ps.pdf (146.6 KB)
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2009-05-15
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The American Physical Society
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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.
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9 pages, no figures.-- PACS nrs.: 11.10.Nx, 11.30.Cp.-- ArXiv pre-print available at: http://arxiv.org/abs/0901.1712v4.pdf
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[PACS] Noncommutative field theory, [PACS] Lorentz and Poincaré invariance, Gauge fields, Non-Commutative Geometry, Twisted Poincaré symmetry
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Physical Review D 79, 105020 (2009)
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