S matrix on the Moyal plane: Locality versus Lorentz invariance

Journal Article · Tue Jan 15 04:00:00 EST 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.77.025020· OSTI ID:21038959

Balachandran, A P; Qureshi, B A ^[1]; Pinzul, A ^[2]; Vaidya, S ^[3]

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1. Department of Physics, Syracuse University, Syracuse New York, 13244-1130 (United States)
2. Instituto de Fisica, Universidade de Sao Paulo, C. P. 66318, Sao Paulo, SP, 05315-970 (Brazil)
3. 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, Journal Name: Physical Review. D, Particles Fields Journal Issue: 2 Vol. 77; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CAUSALITY
COUPLING
CPT THEOREM
LOCALITY
LORENTZ INVARIANCE
QUANTUM FIELD THEORY
S MATRIX
U-1 GROUPS