TY - JOUR
T1 - Parity doubling and SU(2)L×SU(2)R restoration in the hadron spectrum
AU - Jaffe, R. L.
AU - Pirjol, Dan
AU - Scardicchio, Antonello
PY - 2006
Y1 - 2006
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=33645300090&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33645300090&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.96.121601
DO - 10.1103/PhysRevLett.96.121601
M3 - Article
AN - SCOPUS:33645300090
SN - 0031-9007
VL - 96
JO - Physical Review Letters
JF - Physical Review Letters
IS - 12
M1 - 121601
ER -