Noncommutative Quantum Field Theory: A Confrontation of Symmetries
arXiv:0805.3500 · doi:10.1088/1126-6708/2008/06/078
Abstract
The concept of a noncommutative field is formulated based on the interplay between twisted Poincaré symmetry and residual symmetry of the Lorentz group. Various general dynamical results supporting this construction, such as the light-wedge causality condition and the integrability condition for Tomonaga-Schwinger equation, are presented. Based on this analysis, the claim of the identity between commutative QFT and noncommutative QFT with twisted Poincaré symmetry is refuted.
20 pages
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Cited by in corpus (20)
- Very special relativity as relativity of dark matter: the Elko connection
- A Realization of the Cohen-Glashow Very Special Relativity
- Twisted Noncommutative Field Theory with the Wick-Voros and Moyal Products
- Noncommutative field theory with the Wick-Voros product
- Dynamical symmetries in noncommutative theories
- Gauging the twisted Poincare symmetry as noncommutative theory of gravitation
- The Noncommutative Doplicher-Fredenhagen-Roberts-Amorim Space
- Translational-invariant noncommutative gauge theory
- UV/IR mixing as a twisted Poincaré anomaly
- Gauge field theories with covariant star-product
- Wedge locality and asymptotic commutativity
- Light-Like Noncommutativity, Light-Front Quantization and New Light on UV/IR Mixing
- Noncommutative Time in Quantum Field Theory
- An Arena for Model Building in the Cohen-Glashow Very Special Relativity
- Noncommutative Conformal Field Theory in the Twist-deformed context
- Noncommutativity and Duality through the Symplectic Embedding Formalism
- The Structure of Spacetime and Noncommutative Geometry
- New aspects of quantization of Jackiw-Pi model: field-antifield formalism and noncommutativity
- The Lorentz Group, Noncommutative Space-Time, and Nonlinear Electrodynamics in Majorana-Oppenheimer Formalism
- Quantum Space-Time and Noncommutative Gauge Field Theories