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Unitary quantum field theory on the noncommutative Minkowski space
Author(s) -
Bahns D.
Publication year - 2003
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.200310079
Subject(s) - unitarity , noncommutative geometry , propagator , feynman diagram , minkowski space , quantum field theory , unitary state , theoretical physics , physics , mathematical physics , exposition (narrative) , field (mathematics) , quantum mechanics , mathematics , pure mathematics , political science , law , art , literature
This 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 implicitly used in the assumption that perturbation theory may be done solely 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.