Space-time symmetry of noncommutative field theory

Abstract

We consider the deformed Poincare group describing the space-time symmetry of noncommutative field theory. It is shown how the deformed symmetry is related to the explicit symmetry breaking.

arXiv comment7 pages, no figures, final version, accepted for publication in Phys. Lett. B

References in corpus (12)

• Noncommutative Field Theory
• On a Lorentz-Invariant Interpretation of Noncommutative Space-Time and Its Implications on Noncommutative QFT
• Untwisting Noncommutative R^d and the Equivalence of Quantum Field Theories
• Noncommutative ${\Phi }^4$ Theory at Two Loops
• On the classification of quantum Poincaré groups
• Local Field Theory ON $\kappa$-Minkowski Space, Star Products and Noncommutative Translations
• Twisted Classical Poincaré Algebras
• Comments on the Energy-Momentum Tensor in Non-Commutative Field Theories
• Galilean symmetry in noncommutative field theory
• Galilean noncommutative gauge theory: symmetries & vortices
• A Note on the Non-Commutative Wess-Zumino Model
• Noncommutative Parameters of Quantum Symmetries and Star Products

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