Goldstone bosons in description of superfluidity

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SUMMARY

The discussion focuses on the relationship between superfluidity and Goldstone bosons as described in quantum field theory. It highlights that in superfluids, excitations with a linear energy spectrum lead to a critical velocity that prohibits their appearance, while massive excitations, akin to Higgs bosons resulting from spontaneous symmetry breaking, can occur at any velocity. The conversation emphasizes the necessity of understanding which excitations in superfluids are Goldstone bosons and suggests consulting literature, including works by Kardar, Huang, and Yukalov, for deeper insights.

PREREQUISITES
  • Understanding of quantum field theory concepts, particularly Lagrangians.
  • Familiarity with superfluidity and Bose-Einstein condensation (BEC).
  • Knowledge of spontaneous symmetry breaking and its implications in particle physics.
  • Ability to interpret energy spectra and critical velocities in physical systems.
NEXT STEPS
  • Study the role of Goldstone bosons in superfluidity and their derivation from symmetry breaking.
  • Read "Quantum Field Theory in a Nutshell" by Antony Zee for foundational concepts.
  • Examine the review paper by Yukalov on superfluidity and excitations.
  • Explore the implications of critical velocity in superfluid systems through experimental studies.
USEFUL FOR

This discussion is beneficial for physicists, particularly those specializing in condensed matter physics, quantum field theorists, and researchers exploring the dynamics of superfluid systems.

Anton Stepennov
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Hello,

I'm trying to understand how the superfluidity is connected with the Lagrangian of the system: in some textbooks (e.g. Antony Zee qft in nutshell) it is stated, that in case, when the excitations in the fluid have energy spectrum linear with momentum , there is a critical velocity, which forbids appearing of these excitation cinematically , and what is not clear, is that beside massless particles with linear energy spectrum there are also kind of "higgs bosons", which appear because of spontaneous symmetry breaking , which are massive so that they can appear at any velocity . How one can show, that the excitation in superfluid are goldstone bosons only?

thanks
 
Try reading Kardar's or Huang's, perhaps it also appears in Pathria's, not sure.

You should be digging through the literature.
:-)
 
What symmetry gets broken in the transition to BEC?
 

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