Is there a relation between a soliton and a Goldstone boson?

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SUMMARY

The discussion clarifies the relationship between solitons and Goldstone bosons, concluding that they are fundamentally different despite some superficial similarities. A soliton, particularly the sine-Gordon soliton, interpolates between identical vacuum states, while a Goldstone boson is associated with transitions between distinct vacua due to symmetry breaking. The scalar field Φ is specifically linked to the phenomenon of symmetry breaking, contrasting with the behavior of Goldstone bosons that arise from broken symmetries.

PREREQUISITES
  • Understanding of solitons in classical field theory
  • Familiarity with Goldstone's theorem and broken symmetries
  • Knowledge of the sine-Gordon model
  • Basic concepts of vacuum states in quantum field theory
NEXT STEPS
  • Study the sine-Gordon equation and its soliton solutions
  • Explore Goldstone's theorem in detail
  • Investigate the implications of symmetry breaking in quantum field theory
  • Examine the role of scalar fields in particle physics
USEFUL FOR

The discussion is beneficial for theoretical physicists, particularly those focusing on quantum field theory, soliton dynamics, and symmetry principles in particle physics.

phoenix95
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I am currently reading this notes by t'Hooft, and I realized that a soliton and a Goldstone boson behave in a similar way: Both of them interpolate between the vacua. Keeping in mind Soliton is described classically in the notes(atleast until first few sections in chap1), Is there a relation between a soliton and a Goldstone boson?
 
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I don't think so. With the sine-Gordon soliton in mind, it can be seen that the states to the right and left of a soliton are the same vacuum states, while a Goldstone boson separates different vacua.
 
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I understand what you meant. moreover the fields that spawns these particle are completely different: Φ is the scalar field in symmetry breaking where as Goldstone bosons follow from broken symmetries. Thanks for the help.
 

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