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SUMMARY

This discussion centers on the application of concepts from Sakurai's 1967 edition regarding the self-energy of the electron, bare mass, and vacuum fluctuations to scalar fields, specifically the Higgs field and the Higgs boson. The participants confirm that while the Standard Model incorporates a scalar field for the Higgs boson, it differs from the pion field discussed in Sakurai's work. The Yukawa potential derived in chapter 1 is referenced, linking the interaction energy to the pion mass. The conversation emphasizes the distinctions between various scalar fields in quantum field theory.

PREREQUISITES
  • Understanding of quantum field theory concepts
  • Familiarity with the Standard Model of particle physics
  • Knowledge of the Yukawa potential and its implications
  • Basic grasp of scalar fields and their properties
NEXT STEPS
  • Study the derivation of the Yukawa potential in quantum field theory
  • Explore the properties and implications of the Higgs boson in the Standard Model
  • Research the concept of self-energy in quantum field theories
  • Investigate the differences between scalar fields and other types of fields in particle physics
USEFUL FOR

Physicists, students of quantum field theory, and anyone interested in the theoretical foundations of particle physics, particularly those studying the Higgs boson and its associated fields.

HeavyWater
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I have been going through chapter 2 of Sakurai; the 1967 edition. Chapter 2 gets into the self energy of the electron, the concept of the bare mass of the electron, and vacuum fluctuations. Would these same concepts (self energy, bare mass, and vacuum fluctuations) apply to a scalar field (e g the Higgs field) and a neutral scalar particle such as the Higgs boson? In chapter 1, Sakurai derives the Yukawa potential for a scalar field and identifies the pion mass with the interaction energy (see his equation 1.44). Could one associate the scalar field with the Higgs scalar field and the neutral scalar particle with the Higgs boson?
 
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HeavyWater said:
I have been going through chapter 2 of Sakurai; the 1967 edition. Chapter 2 gets into the self energy of the electron, the concept of the bare mass of the electron, and vacuum fluctuations. Would these same concepts (self energy, bare mass, and vacuum fluctuations) apply to a scalar field (e g the Higgs field) and a neutral scalar particle such as the Higgs boson?
Yes.
HeavyWater said:
In chapter 1, Sakurai derives the Yukawa potential for a scalar field and identifies the pion mass with the interaction energy (see his equation 1.44). Could one associate the scalar field with the Higgs scalar field and the neutral scalar particle with the Higgs boson?
Not quite sure what you're asking here. The Standard Model is a specific quantum field theory that includes a scalar field corresponding to the Higgs boson. This is not the same as Sakurai's pion field.
 
Avodyne said:
Yes.
Not quite sure what you're asking here. The Standard Model is a specific quantum field theory that includes a scalar field corresponding to the Higgs boson. This is not the same as Sakurai's pion field.

Thank you Avodyne. I just returned from a vacation, otherwise I would have thanked you earlier.
 

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