Noncommutative Dipole Field Theories And Unitarity

2003/10/31 by Dah-Wei Chiou, Ori J. Ganor, Ori J Ganor
Mathematics · Physics and Astronomy · #Dipole #Field (mathematics) #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Physics #Quantum Electrodynamics and Casimir Effect #Quantum Mechanics and Applications #Quantum electrodynamics #Quantum field theory #Quantum mechanics #Theoretical physics #Unitarity #hep-th

paper · pdf · doi:10.1088/1126-6708/2004/03/050

published as JHEP 0403:050,2004 · typos corrected, more details added in Sec 5, version to appear in JHEP

openalex publication_date 2004/03/23 · arxiv created 2004/03/25 · arxiv updated 2014/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

We extend the argument of Gomis and Mehen for violation of unitarity in field theories with space-time noncommutativity to dipole field theories. In dipole field theories with a timelike dipole vector, we present 1-loop amplitudes that violate the optical theorem. A quantum mechanical system with nonlocal potential of finite extent in time also shows violation of unitarity.

Citations

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• Perturbative approach to higher derivative theories with fermions
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