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Lorentz Invariance and the Unitarity Problem in Non-Commutative Field Theory

2003/09/30 by K. Morita, Katsusada Morita, Y. Okumura +2 · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1143/ptp.110.989

published as Prog.Theor.Phys. 110 (2003) 989-1001 · 14 pages

arxiv created 2003/10/06 · openalex publication_date 2003/11/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is shown that the one-loop two-point amplitude in Lorentz-invariant non-commutative (NC) φ3 theory is finite after subtraction in the commutative limit and satisfies the usual cutting rule. This eliminates the unitarity problem in Lorentz-non-invariant NC field theory in the approximation considered.

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