Eur. Phys. J. C 25, 479-486 (2002)
DOI: 10.1007/s10052-002-01018-7
Time-ordered perturbation theory on non-commutative spacetime II: Unitarity
Y. Liao and K. SiboldInstitut für Theoretische Physik, Universität Leipzig, Augustusplatz 10/11, 04109 Leipzig, Germany
(Received: 25 June 2002 / Published online: 30 August 2002 )
Abstract
We examine the unitarity issue in the recently proposed time-ordered
perturbation theory on noncommutative (NC) spacetime. We show
that unitarity
is preserved as long as the interaction Lagrangian is explicitly
hermitian. We explain why it makes sense to distinguish the hermiticity
of the
Lagrangian from that of the action in perturbative NC field theory
and how this
requirement fits in this framework.
© Società Italiana di Fisica, Springer-Verlag 2002