Calc QED Charge Particle Repulsion/Attraction

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Discussion Overview

The discussion revolves around the calculations involved in quantum electrodynamics (QED), specifically focusing on the repulsion and attraction of charged particles through the use of Feynman diagrams and S-matrix elements. Participants explore the necessity of performing calculations to at least second order and reference various sources for further understanding.

Discussion Character

  • Technical explanation, Conceptual clarification, Debate/contested, Homework-related

Main Points Raised

  • Some participants suggest using Feynman diagrams as a method to perform perturbative calculations in QED, emphasizing their role in deriving transition-matrix elements.
  • It is noted that calculations should be performed to at least second order, as leading order results may not differentiate between repulsion and attraction.
  • One participant expresses uncertainty about what "second order" entails, indicating a need for clarification on the concept.
  • Another participant questions the accuracy of a specific source related to QED calculations, seeking validation.
  • A later reply suggests that while the source appears to be a good summary, a textbook on quantum field theory is recommended for deeper understanding.
  • There is a challenge posed regarding the background knowledge required for QED calculations, with a suggestion to start with a simpler process, e.g., e+e- --> mu+mu-.

Areas of Agreement / Disagreement

Participants express varying levels of understanding regarding QED calculations, with some seeking clarification and others providing guidance. There is no consensus on the specific details of second order calculations or the adequacy of the referenced source.

Contextual Notes

Some participants indicate that a foundational understanding of quantum field theory is necessary to engage with the topic effectively, suggesting that assumptions about prior knowledge may limit the discussion.

ILoveParticlePhysics
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TL;DR
What is the formula for calculating the repulsion/attraction of charged particles in quantum electrodynamics?
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You just draw the Feynman diagram and calculute it according to the rules derived from the formalism. Feynman diagrams are just an ingenious shortcut to do these perturbative calculations. What you get are transition-matrix elements (S-matrix elements) from which you can calculate cross sections of scattering processes.
 
Note that you will need to calculate this to at least second order, because at leading order the scattering is the same either way.
 
vanhees71 said:
You just draw the Feynman diagram and calculute it according to the rules derived from the formalism. Feynman diagrams are just an ingenious shortcut to do these perturbative calculations. What you get are transition-matrix elements (S-matrix elements) from which you can calculate cross sections of scattering processes.
So, I calculate and draw the Feynman diagram, from which I get the S matrix elements from which I get the cross section of scattering processes which tells me how everything is going to repel/attract, right?
 
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Vanadium 50 said:
Note that you will need to calculate this to at least second order, because at leading order the scattering is the same either way.
This might sound dumb, but what exactly is 2nd order.
 
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That looks like a good summary, but of course to really understand it, you should refer to some textbook on quantum field theory, e.g.,

M. D. Schwartz, Quantum field theory and the Standard
Model, Cambridge University Press, Cambridge, New York
(2014).
 
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ILoveParticlePhysics said:
This might sound dumb, but what exactly is 2nd order.

Um, you haven't done any QED calculations, have you? It would be better for you to fill in your background than having me define words you don't understand with other words you don't understand. The easiest calculation is probably e+e- --> mu+mu-. I'd start there.
 
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