Doubt on sign of the propagator on Peskin

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Discussion Overview

The discussion revolves around a query regarding the appearance of an extra minus sign in the numerator of a fermion propagator in the context of QCD corrections to the low energy electroweak Lagrangian, specifically referencing Peskin's text.

Discussion Character

  • Technical explanation

Main Points Raised

  • One participant seeks clarification on the reason for an extra minus sign in the fermion propagator as presented in Peskin's section 18.2.
  • Another participant notes that all external momenta are set to zero, indicating that the only momentum considered is the loop momentum k, and suggests that if the gluon momentum is k, then one of the quark momenta must be -k due to momentum conservation.
  • A later reply expresses appreciation for the clarification, indicating a positive reception to the explanation provided.

Areas of Agreement / Disagreement

Participants appear to agree on the context of the question and the explanation regarding momentum conservation, but the initial query reflects uncertainty about the sign in the propagator, which remains unresolved.

Einj
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Hi everyone. I was trying to reproduce the calculation needed to include the QCD correction to the low energy electroweak Lagrangian. In particular I am looking at Peskin section 18.2. In equation 18.35 an extra minus sign appears on the numerator of the second fermion propagator.

Can anyone explain me why?

Thanks
 
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As stated in the text, all external momenta have been set to zero. Thus the only momentum is the loop momentum k. If we take the gluon momentum to be k, by conservation of momentum one of the quark momenta must be -k.
 
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Oops... stupid question! Thanks a lot
 
Einj said:
Oops... stupid question! Thanks a lot

Most definitely NOT a stupid question!
 

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