Typo in Kapusta or Ashok Das ? Formula for thermal propagator

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SUMMARY

The discussion centers on a typo found in the thermal propagator formulas presented in Kapusta's book "Finite Temperature Field Theory" (formula 3.22) and Ashok Das' book of the same title (formula 1.30). The correct formula is confirmed to be Kapusta's, which includes a minus sign in front of omega, while Ashok Das' version omits this sign. This discrepancy has been identified as a typographical error in Das' work.

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typo in "Kapusta" or "Ashok Das"? Formula for thermal propagator

Hi! Does somebody of you have Kapusta's book "finite temperature field theory" and Ashok Das book (same title)?
I'm quite sure there is a typo in one of them - compare the formulas for the Fourier transformed thermal propagator:
Kapusta (3.22) and Ashok (1.30)
All the letters are the same but there is a missing minus-sign in front of the omega in Ashok's formula. Does somebody know where it comes from or which formula is the correct one?

Best regards
 
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and thanks in advance!The correct formula for the Fourier transformed thermal propagator is given by Kapusta's book (3.22). The missing minus sign in Ashok Das' formula (1.30) is a typo.
 

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