Non Commutative Quantum Field Theory

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Discussion Overview

The discussion revolves around the formula for the cross section of Compton scattering in non-commutative space-time. Participants are exploring the theoretical framework and specific calculations related to this topic.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant seeks the formula for the cross section of Compton scattering in non-commutative space-time, indicating a gap in available resources.
  • Another participant suggests a paper that discusses a vertex formula for three photons, noting that this does not directly apply to Compton scattering, which involves different initial and final states.
  • A later reply mentions that the paper's findings on pair annihilation relate to Compton scattering through crossing symmetry, suggesting a connection but not providing a direct answer to the original question.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the specific vertex formula for Compton scattering in non-commutative space-time, and multiple perspectives on related theoretical frameworks are presented.

Contextual Notes

The discussion highlights the complexity of deriving specific formulas in non-commutative quantum field theory and the potential need for additional work to connect different theoretical results.

fizix-
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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 .
 
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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)?
 
fizix- said:
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!
 

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