Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2005-11-07
Phys.Rev.Lett. 96 (2006) 121601
Physics
High Energy Physics
High Energy Physics - Phenomenology
4 pages, 1 figure; v3: Note added to clarify implications for hadrons that do not couple to pions: Chiral symmetry can be real
Scientific paper
10.1103/PhysRevLett.96.121601
We construct the most general nonlinear representation of chiral SU(2)_L x 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 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.
Jaffe Robert L.
Pirjol Dan
Scardicchio Antonello
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