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Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
Invariants of broken discrete symmetries
P A Kalozoumis1, C Morfonios2, F K Diakonos1
1Department of Physics, University of Athens, GR-15771 Athens, Greece.
Abstract:
The parity and Bloch theorems are generalized to the case of broken global symmetry. Local inversion or translation symmetries in one dimension are shown to yield invariant currents that characterize wave propagation. These currents map the wave function from an arbitrary spatial domain to any symmetry-related domain. Our approach addresses any combination of local symmetries, thus applying, in particular, to acoustic, optical, and matter waves. Nonvanishing values of the invariant currents provide a systematic pathway to the breaking of discrete global symmetries.
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