Time-ordered perturbation theory on non-commutative spacetime II: Unitarity

2002/06/30 by Yi Liao, Klaus Sibold · 6 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-ph #hep-th

paper · pdf · doi:10.1007/s10052-002-1018-7

published as Eur.Phys.J.C25:479-486,2002 · 19 pages, 3 figures using axodraw; version 2: typos fixed and very minor rewording, to appear in Eur Phys J C

arxiv created 2002/07/03 · openalex publication_date 2002/10/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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