DFR Perturbative Quantum Field theory on Quantum Space Time, and Wick Reduction

Abstract

We discuss the perturbative approach a` la Dyson to a quantum field theory with nonlocal self-interaction :phi*...*phi:, according to Doplicher, Fredenhagen and Roberts (DFR). In particular, we show that the Wick reduction of non locally time--ordered products of Wick monomials can be performed as usual, and we discuss a very simple Dyson diagram.

15 pages, pdf has active hyperlinks. To appear in the proceedings of the conference on "Rigorous quantum Field Theory", held at Saclay on July 19-21, 2004, on the occasion of Jacques Bros' 70th birthday

References in corpus (5)

• The quantum structure of spacetime at the Planck scale and quantum fields
• Ultraviolet Finite Quantum Field Theory on Quantum Spacetime
• Field Theory on Noncommutative Spacetimes: Quasiplanar Wick Products
• Time ordered perturbation theory for non-local interactions; applications to NCQFT
• Non Local Theories: New Rules for Old Diagrams

Cited by in corpus (1)

• Twisted Covariance as a Non Invariant Restriction of the Fully Covariant DFR Model