Non Commutative Quantum Field Theory

[fizix-]

Non Commutative Cross-Section

hello, this is my first post here,
i have searched the web but i didnt find what i am looking for,so i hope i find it here.
i am looking for the formula of the cross section of compton scattring in the non commutative space-time .

 

[blechman]

http://arxiv.org/abs/hep-ph/0010354 might be a good place to start.

 

[fizix-]

thank you blechman ,
in that paper it was given the formula of the vertex of three photons where the initial state is the vacuum (|i>=|0>) and the final state |f> is three photons,and this case in not present in compton scattering,where we have in the initial state one photon (or two photon) and in the final state two photons (or one photon).
my problem is what is the vertex formula in this case (compton scatering)?

 

[blechman]

thank you blechman ,
in that paper it was given the formula of the vertex of three photons where the initial state is the vacuum (|i>=|0>) and the final state |f> is three photons,and this case in not present in compton scattering,where we have in the initial state one photon (or two photon) and in the final state two photons (or one photon).
my problem is what is the vertex formula in this case (compton scatering)?

They do pair annihilation, which is related to compton scattering by a crossing symmetry. You still have to do some work, but they do most of it for you!

Anyway, that's all I have. Good luck with it!