Is Weak Isospin Conserved in Particle Physics?

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SUMMARY

Weak isospin conservation is maintained before spontaneous symmetry breaking in particle physics. The vacuum expectation value of the Higgs field breaks this symmetry, leading to non-conservation in processes involving mass terms and interactions with the Higgs. Specifically, weak isospin is not conserved in interactions involving the Higgs field, including those with fermions. However, weak isospin remains conserved in interactions that do not involve the Higgs field.

PREREQUISITES
  • Understanding of weak isospin and its role in particle physics
  • Familiarity with the Higgs mechanism and spontaneous symmetry breaking
  • Knowledge of fermions and their interactions in quantum field theory
  • Basic concepts of propagators and spinors in particle interactions
NEXT STEPS
  • Study the Higgs mechanism and its implications for particle mass generation
  • Explore the role of spontaneous symmetry breaking in quantum field theory
  • Investigate the interactions of fermions with the Higgs field
  • Learn about conservation laws in particle physics and their exceptions
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Particle physicists, theoretical physicists, and students studying quantum field theory who are interested in the implications of weak isospin conservation and the Higgs mechanism.

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How is weak isospin conserved?

Before spontaneous symmetry breaking, it's conserved - by construction.

Afterwards, the vacuum expectation value of the Higgs breaks the symmetry.

It's the mass terms, and interactions of the Higgs field, where the symmetry is broken, and so there is no conservation for these processes.

The mass terms, however, can appear in interaction calculations through propagators and spinors, and so anywhere there is mass should there not be non-conservation of isospin?
 
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Yes, weak isospin is not conserved in interactions involving the Higgs field. This includes interactions with fermions, and all other interactions that involve the Higgs. However, for interactions not involving the Higgs field, weak isospin is still conserved.
 

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