Can a non-symmetric metric mimic NCQFT in [equation] ?

摘要

In the non-symmetric gravitational theory (NGT) the space-time metric (g_{mu u}) departs from the flat-space Minkowski form (eta_{mu u}) in such a way that it is no longer symmetric, i.e. (g_{mu u} e g_{ umu}). 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 (e^ + e^- o gamma gamma), both theories make the same striking prediction that the azimuthal cross section oscillates in (phi). However the predicted number of oscillations differs in the two theories: MNQFT predicts between one and four, whereas NCQFT has no such restriction.