Spontaneous breaking of symmetry in Moyal spacetime with twisted Poincaré symmetry

Abstract

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

10 pages, Talk at Max Born symposium, 2009

References in corpus (5)

• Twisted Statistics in kappa-Minkowski Spacetime
• Statistics and UV-IR Mixing with Twisted Poincare Invariance
• Deformed Oscillator Algebras and QFT in $\kappa$-Minkowski Spacetime
• Wedge-Local Quantum Fields and Noncommutative Minkowski Space
• Spontaneous Symmetry Breaking in Twisted Noncommutative Quantum Theories