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Assumption of nonvanishingness of vacuum expectation of the scalar field for spontaneous symmetry breaking is superfluous

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arxiv hep-th/9703013 v2 pith:WSP4CPW7 submitted 1997-03-02 hep-th

Assumption of nonvanishingness of vacuum expectation of the scalar field for spontaneous symmetry breaking is superfluous

classification hep-th
keywords symmetrybreakingfieldscalarspontaneousvacuumexpectationsuperfluous
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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For spontaneous breaking of global or gauge symmetry, it is superfluous to assume that the vacuum expectation value of the scalar field manifesting the symmetry is nonvanishing. The vacuum with spontaneous symmetry breaking simply corresponds to nonzero number of particles of one or more components of the real scalar field.

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