Noncommutative Dipole Field Theories And Unitarity

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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typos corrected, more details added in Sec 5, version to appear in JHEP

Scientific paper

10.1088/1126-6708/2004/03/050

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.

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