Correspondence between Poincare symmetry of commutative QFT and twisted Poincare symmetry of noncommutative QFT
- Institute of Particle and Nuclear Studies, High Energy Accelerator Research Organization (KEK), Tsukuba 305-0801 (Japan)
The space-time symmetry of noncommutative quantum field theories with a deformed quantization is described by the twisted Poincare algebra, while that of standard commutative quantum field theories is described by the Poincare algebra. Based on the equivalence of the deformed theory with a commutative field theory, the correspondence between the twisted Poincare symmetry of the deformed theory and the Poincare symmetry of a commutative theory is established. As a by-product, we obtain the conserved charge associated with the twisted Poincare transformation to make the twisted Poincare symmetry evident in the deformed theory. Our result implies that the equivalence between the commutative theory and the deformed theory holds in a deeper level, i.e., it holds not only in correlation functions but also in (different types of) symmetries.
- OSTI ID:
- 21205209
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 77, Issue 12; Other Information: DOI: 10.1103/PhysRevD.77.125009; (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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