When to use Feynman or Schwinger Parametrization

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SUMMARY

This discussion centers on the application of Feynman and Schwinger parametrization techniques in quantum field theory, specifically within the context of Heavy Quark Effective Theory (HQET) and Quantum Chromodynamics (QCD). The user expresses familiarity with Feynman parametrization but seeks clarity on the conditions under which each method should be employed. It is concluded that while both techniques can be used interchangeably in many cases, understanding the specific contexts and restrictions of each is essential for accurate calculations involving propagators.

PREREQUISITES
  • Understanding of Heavy Quark Effective Theory (HQET)
  • Familiarity with Quantum Chromodynamics (QCD)
  • Knowledge of loop momentum in quantum field theory
  • Proficiency in Feynman and Schwinger parametrization techniques
NEXT STEPS
  • Research the specific conditions for using Schwinger parametrization in QCD calculations
  • Explore advanced applications of Feynman parametrization in loop integrals
  • Study the strategy of regions in quantum field theory
  • Examine case studies comparing the outcomes of Feynman and Schwinger parametrization
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Physicists, particularly those specializing in quantum field theory, as well as students and researchers looking to deepen their understanding of parametrization techniques in particle physics calculations.

Elmo
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TL;DR
A question about loop calculations by Feynman and Schwinger parameterization
I had been doing some calculations involving propagators with both a quadratic and a linear power of loop momentum in the denominator. In the context of HQET and QCD with strategy of regions.
The texts which I am following sometimes tend to straightaway use Schwinger and I am just wondering if there are any restrictions/conditions in the use of each of these techniques.
 
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Hm, I'm more used to the Feynman parametrization. I don't think that it makes much of a difference which one you use.
 

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