Unitary Quantum Field Theory on the Noncommutative Minkowski space

Abstract

This is the written version of a talk I gave at the 35th Symposium Ahrenshoop in Berlin, Germany, August 2002. It is an exposition of joint work with S. Doplicher, K. Fredenhagen, and Gh. Piacitelli [1]. The violation of unitarity found in quantum field theory on noncommutative spacetimes in the context of the so-called modified Feynman rules is linked to the notion of time ordering implicitely used in the assumption that perturbation theory may be done in terms of Feynman propagators. Two alternative approaches which do not entail a violation of unitarity are sketched. An outlook upon our more recent work is given.

6 pages. To appear in the proceedings of 35th International Symposium Ahrenshoop on the theory of Elementary Particles: Recent Developments in String / M Theory and Field Theory, Berlin, Germany, 26-30 Aug 2002 (special issue of the journal "Fortschritte der Physik") v2: minor addition to the abstract

References in corpus (2)

• The quantum structure of spacetime at the Planck scale and quantum fields
• Time-ordered Perturbation Theory on Noncommutative Spacetime II: Unitarity

Cited by in corpus (6)

• kappa-deformed Spacetime From Twist
• Noncommutative Field Theory from twisted Fock space
• Schwinger functions in noncommutative quantum field theory
• Discrete Time Evolution and Energy Nonconservation in Noncommutative Physics
• UV Finite Field Theories on Noncommutative Spacetimes: the Quantum Wick Product and Time Independent Perturbation Theory
• Planar Binary Trees and Perturbative Calculus of Observables in Classical Field Theory