Correspondence between Poincare symmetry of commutative QFT and twisted Poincare symmetry of noncommutative QFT

Journal Article · Sun Jun 15 04:00:00 EDT 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.77.125009· OSTI ID:21205209

Abe, Yasumi ^[1]

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1. 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, Journal Name: Physical Review. D, Particles Fields Journal Issue: 12 Vol. 77; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BY-PRODUCTS
COMMUTATION RELATIONS
CORRELATION FUNCTIONS
DEFORMATION
POINCARE GROUPS
QUANTIZATION
QUANTUM FIELD THEORY
SPACE-TIME
SYMMETRY
TRANSFORMATIONS