Space-Time Noncommutative Field Theories And Unitarity

Details Space-Time Noncommutative Field Theories And Unitarity Space-Time Noncommutative Field Theories And Unitarity

2000-05-14

arxiv.org/abs/hep-th/0005129v2

Nucl.Phys. B591 (2000) 265-276

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, 2 figures, harvmac; references added

Scientific paper

10.1016/S0550-3213(00)00525-3

We study the perturbative unitarity of noncommutative scalar field theories. Field theories with space-time noncommutativity do not have a unitary S-matrix. Field theories with only space noncommutativity are perturbatively unitary. This can be understood from string theory, since space noncommutative field theories describe a low energy limit of string theory in a background magnetic field. On the other hand, there is no regime in which space-time noncommutative field theory is an appropriate description of string theory. Whenever space-time noncommutative field theory becomes relevant massive open string states cannot be neglected.

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