Thermofield Dynamics for Twisted Poincare-Invariant Field Theories: Wick Theorem and S-matrix
arXiv:1008.1242 · doi:10.1142/S0217751X11053468
Abstract
Poincare invariant quantum field theories can be formulated on non-commutative planes if the statistics of fields is twisted. This is equivalent to state that the coproduct on the Poincare group is suitably twisted. In the present work we present a twisted Poincare invariant quantum field theory at finite temperature. For that we use the formalism of Thermofield Dynamics (TFD). This TFD formalism is extend to incorporate interacting fields. This is a non trivial step, since the separation in positive and negative frequency terms is no longer valid in TFD. In particular, we prove the validity of Wick's theorem for twisted scalar quantum field at finite temperature.
arXiv commentv1: 25 pages, no figure v2: references added; typos corrected; typo in title corrected
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Cited by in corpus (7)
- Quantum field theory on toroidal topology: algebraic structure and applications
- Thermofield dynamics and Gravity
- UV/IR mixing as a twisted Poincaré anomaly
- Lehmann-Symanzik-Zimmermann S-Matrix elements on the Moyal Plane
- No-cloning theorem in thermofield dynamics
- Parametric down conversion of a bosonic thermofield vacuum
- Renormalization of Noncommutative Quantum Field Theories