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Natural Science Forum / Physics / Particle Physics / June 2008



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Derivation of Coulomb potential from field theory

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Irigi - 03 Jun 2008 15:37 GMT
Hello,
 I would like to ask, if someone knows how to derive that attractive/
repulsive force of electron-positron or electron-electron pair will be
Coulombical from the Standard model. Do you know any relevant links or
literature to this topic?

Thank you!
 Irigi.
Jan Irigi Olšina - 06 Jun 2008 21:16 GMT
>>   I would like to ask, if someone knows how to derive that attractive/
>> repulsive force of electron-positron or electron-electron pair will be
[quoted text clipped - 9 lines]
> answer takes many pages.
> Best, GK

Thank you for your answer!
 We computed something similar at school, we calculated invariant
amplitudes of scattering (those M_f->i) of very heavy fermion
interacting with another one by exchanging W-boson and Higgs. We used
first term of born series as definition of potential, so the potential
was fourier transform of the invariant amplitude. Is this somehow
analogous?

In what conditions can you use potential computed as fourier transform
of propagator as an good approximation of interaction? Sufficiently
low energies of the field? (or of particle?) Can we use this potential
for relativistic particle, if its energy is suffitiently low? (e.g.
neutrino bound by exchange of some light vector bosons? (very light
particle, but with small overal energy))

Thank you!
 Irigi.
 
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