Can a non-symmetric metric mimic NCQFT in ?
High Energy Physics Group, Department of Physics, Tsinghua University, 100084, Beijing, P.R. China
2 Institute of Theoretical Physics, Chinese Academy of Sciences, 100080, Beijing, P.R. China
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In the non-symmetric gravitational theory (NGT) the space-time metric departs from the flat-space Minkowski form in such a way that it is no longer symmetric, i.e. . We find that in the most conservative such scenario coupled to quantum field theory, which we call minimally non-symmetric quantum field theory (MNQFT), there are experimentally measurable consequences similar to those from non-commutative quantum field theory (NCQFT). This can be expected from the Seiberg-Witten map which has recently been interpreted as equating gauge theories on non-commutative space-times with those in a field-dependent gravitational background. In particular, in scattering processes such as the pair annihilation , both theories make the same striking prediction that the azimuthal cross section oscillates in . However the predicted number of oscillations differs in the two theories: MNQFT predicts between one and four, whereas NCQFT has no such restriction.
© Springer-Verlag, 2004