Time-ordered Perturbation Theory on Noncommutative Spacetime II: Unitarity

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 the framework.

19 pages, 3 figures using axodraw; version 2: typos fixed and very minor rewording, to appear in Eur Phys J C

References in corpus (3)

• The quantum structure of spacetime at the Planck scale and quantum fields
• On the unitarity problem in space/time noncommutative theories
• Time-ordered Perturbation Theory on Noncommutative Spacetime: Basic Rules

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