Spontaneous Symmetry Breaking in Twisted Noncommutative Quantum Theories
arXiv:0901.1712 · doi:10.1103/PhysRevD.79.105020
Abstract
We analyse aspects of symmetry breaking for Moyal spacetimes within a quantisation scheme which preserves the twisted Poincaré symmetry. Towards this purpose, we develop the 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.
+13 pages; minor changes in references,To appear in Phys Rev D
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Cited by in corpus (9)
- Inequivalence of QFT's on Noncommutative Spacetimes: Moyal versus Wick-Voros
- Particle phenomenology on noncommutative spacetime
- Thermofield dynamics and twisted Poincaré symmetry on Moyal space-time
- Lehmann-Symanzik-Zimmermann S-Matrix elements on the Moyal Plane
- Poincare' Quasi-Hopf Symmetry and Non-Associative Spacetime Algebra from Twisted Gauge Theories
- Quantum Geons and Noncommutative Spacetimes
- Renormalization of Noncommutative Quantum Field Theories
- Spontaneous breaking of symmetry in Moyal spacetime with twisted Poincaré symmetry
- Review of Twisted Poincare Symmetry