https://doi.org/10.1140/epjc/s2004-02043-8
theoretical physics
Can a non-symmetric metric mimic NCQFT in 
?
1
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
* e-mail: kest@mail.tsinghua.edu.cn
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
