Statistics and UV-IR Mixing with Twisted Poincare Invariance
arXiv:hep-th/0608179 · doi:10.1103/PhysRevD.75.045009
Abstract
We elaborate on the role of quantum statistics in twisted Poincare invariant theories. It is shown that, in order to have twisted Poincare group as the symmetry of a quantum theory, statistics must be twisted. It is also confirmed that the removal of UV-IR mixing (in the absence of gauge fields) in such theories is a natural consequence.
13 pages, LaTeX; typos corrected
References in corpus (7)
- On a Lorentz-Invariant Interpretation of Noncommutative Space-Time and Its Implications on Noncommutative QFT
- A Gravity Theory on Noncommutative Spaces
- Spin and Statistics on the Groenewold-Moyal Plane: Pauli-Forbidden Levels and Transitions
- Untwisting Noncommutative R^d and the Equivalence of Quantum Field Theories
- UV-IR Mixing in Non-Commutative Plane
- Twist and Spin-Statistics Relation in Noncommutative Quantum Field Theory
- Remarks on twisted noncommutative quantum field theory
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- On the role of twisted statistics in the noncommutative degenerate electron gas
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- Thermofield dynamics and twisted Poincaré symmetry on Moyal space-time
- Spontaneous Symmetry Breaking in Twisted Noncommutative Quantum Theories
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- Z^0 \to 2γand the Twisted Coproduct of the Poincaré Group
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- Noncommutative Geometry: Fuzzy Spaces, the Groenewold-Moyal Plane
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