S matrix on the Moyal plane: Locality versus Lorentz invariance
Journal Article
·
· Physical Review. D, Particles Fields
- Department of Physics, Syracuse University, Syracuse New York, 13244-1130 (United States)
- Instituto de Fisica, Universidade de Sao Paulo, C. P. 66318, Sao Paulo, SP, 05315-970 (Brazil)
- Centre for High Energy Physics Indian Institute of Science, Bangalore, 560012 (India)
Twisted quantum field theories on the Groenewold-Moyal plane are known to be nonlocal. Despite this nonlocality, it is possible to define a generalized notion of causality. We show that interacting quantum field theories that involve only couplings between matter fields, or between matter fields and minimally coupled U(1) gauge fields are causal in this sense. On the other hand, interactions between matter fields and non-Abelian gauge fields violate this generalized causality. We derive the modified Feynman rules emergent from these features. They imply that interactions of matter with non-Abelian gauge fields are not Lorentz- and CPT-invariant.
- OSTI ID:
- 21038959
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 77, Issue 2; Other Information: DOI: 10.1103/PhysRevD.77.025020; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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