Can a non-symmetric metric mimic NCQFT in e(+)e(-)->gamma gamma?

摘要

In the non-symmetric gravitational theory (NGT) the space-time metric g,, departs from the flat-space Minkowski form eta(munu) in such a way that it is no longer symmetric, i.e. g(munu) not equal g(numu). 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(-) --> gammagamma, 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.