Why Do Some Books Only Consider Zero Mass Limit for Renormalization Group?

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SUMMARY

The discussion centers on the use of the zero mass limit in the context of the renormalization group (RG) in high energy physics. Participants highlight that many texts simplify the analysis by assuming a zero mass limit, which allows for the application of perturbative techniques. This approach is particularly useful when dealing with relevant operators, as the mass parameter can complicate calculations when momentum increases. The implications of this simplification extend beyond high energy physics, raising questions about its applicability in other fields.

PREREQUISITES
  • Understanding of renormalization group theory
  • Familiarity with perturbative techniques in quantum field theory
  • Knowledge of relevant operators in quantum mechanics
  • Basic concepts of high energy physics
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  • Study the implications of the zero mass limit in quantum field theory
  • Explore advanced perturbative techniques in renormalization group analysis
  • Investigate the role of mass parameters in non-perturbative approaches
  • Examine case studies of renormalization group applications in various physical theories
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Physicists, particularly those specializing in quantum field theory and high energy physics, as well as students seeking to deepen their understanding of renormalization group techniques.

ndung200790
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Please teach me this:
Why some books only consider zero mass limit when they consider the renormalization group.I have been wondered this because the mass parameter multiplying with relevant operator,it become growth when momentum grows.
Thank you very much in advance.
 
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It seem that in high energy physics,we can consider the mass of particle is small.But how about the other physics?
 


''Zero mass limit'' I mean that we could use perturbative theory with mass parameter.
 

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