Professor Tony Leggett, UIUC

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Presentation transcript:

Professor Tony Leggett, UIUC Spontaneous Symmetry Breaking: Its Successes, Its Limitations, and Its Pitfalls Professor Tony Leggett, UIUC

Broken Symmetry Hamiltonian (Lagrangian) of system is invariant under various symmetry operations. Examples: (1) Nonrelativistic CM system, e.g. gas of atoms of spin ½: (zero magnetic field) invariant under: continuous discrete spatial translation rotn in orbital space rotn in spin space spatial inversion time reversal also (trivially) invariant under global “gauge transformation, (2) QED Lagrangian (density): invariant under: Poincaré group ( Lorentz + space-time transln), C, P, T, local gauge transfn