Parity doubling and SU(2)L×SU(2)R restoration in the hadron spectrum

R. L. Jaffe, Dan Pirjol, Antonello Scardicchio

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34 Scopus citations

Abstract

We construct the most general nonlinear representation of chiral SU(2)L×SU(2)R broken down spontaneously to the isospin SU(2), on a pair of hadrons of same spin and isospin and opposite parity. We show that any such representation is equivalent, through a hadron field transformation, to two irreducible representations on two hadrons of opposite parity with different masses and axial-vector couplings. This implies that chiral symmetry realized in the Nambu-Goldstone mode does not predict the existence of degenerate multiplets of hadrons of opposite parity nor any relations between their couplings or masses.

Original languageEnglish
Article number121601
JournalPhysical Review Letters
Volume96
Issue number12
DOIs
StatePublished - 2006

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