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Noncommutative Dipole Field Theories And Unitarity

2004; Springer Nature; Volume: 2004; Issue: 03 Linguagem: Inglês

10.1088/1126-6708/2004/03/050

1127-2236

Dah-Wei Chiou, Ori Ganor,

Cosmology and Gravitation Theories

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.