Testing non-commutative QED $\gamma\gamma\gamma$ and $\gamma\gamma\gamma\gamma$ couplings at LHC

Testing Non–commutative QED γγγ and γγγγ Couplings at LHC

Testing Non - commutative QED , Constructing Non - commutative MHD

The effect of non-commutativity on electromagnetic waves violates Lorentz invariance: in the presence of a background magnetic induction field b, the velocity for propagation transverse to b differs from c, while propagation along b is unchanged. In principle, this allows a test by the Michelson-Morley interference method. We also study non-commutativity in another context, by constructing the ...

Lorentz-Invariant Non-Commutative QED

Lorentz-invariant non-commutative QED (NCQED) is constructed such that it should be a part of Lorentz-invariant non-commutative standard model (NCSM), a subject to be treated in later publications. Our NCSM is based on Connes’ observation that the total fermion field in the standard model may be regarded as a bi-module over a flavorcolor algebra. In this paper, it is shown that there exist two ...

Signatures of Non-commutative QED at Photon Colliders

In this paper we study non-commutative (NC) QED signatures at photon colliders through pair production of charged leptons(ll) and charged scalars(HH). The NC corrections for the fermion pair production can be easily obtained since NC QED with fermions has been extensively studied in the literature. NC QED with scalars is less studied. To obtain the cross section for HH productions, we first inv...

Background field quantization and non-commutative QED

We quantize non-commutative QED canonically in the background field gauge for weak and slowly varying background fields. We determine the complete basis for expansion under such an approximation. As an application, we derive the Wigner function which determines the leading order high temperature behavior of the perturbative amplitudes of non-commutative QED. To leading order, we also give a clo...