Pion decoupling and SU(2){sub L}xSU(2){sub R} restoration in the hadron spectrum
We clarify the relationship between SU(2){sub L}xSU(2){sub R} restoration in the hadron spectrum, parity doubling, and pion-hadron couplings.
We construct the most general nonlinear representation of chiral SU(2){sub L}xSU(2){sub 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.
Jaffe, R.L., Pirjol, Dan, and Scardicchio, Antonello. Parity Doubling and SU(2){sub L}xSU(2){sub R} Restoration in the Hadron Spectrum. United States: N. p., 2006.
Web. doi:10.1103/PhysRevLett.96.121601.
Jaffe, R.L., Pirjol, Dan, & Scardicchio, Antonello. Parity Doubling and SU(2){sub L}xSU(2){sub R} Restoration in the Hadron Spectrum. United States. doi:10.1103/PhysRevLett.96.121601.
Jaffe, R.L., Pirjol, Dan, and Scardicchio, Antonello. Fri .
"Parity Doubling and SU(2){sub L}xSU(2){sub R} Restoration in the Hadron Spectrum". United States.
doi:10.1103/PhysRevLett.96.121601.
@article{osti_20777113,
title = {Parity Doubling and SU(2){sub L}xSU(2){sub R} Restoration in the Hadron Spectrum},
author = {Jaffe, R.L. and Pirjol, Dan and Scardicchio, Antonello},
abstractNote = {We construct the most general nonlinear representation of chiral SU(2){sub L}xSU(2){sub 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.},
doi = {10.1103/PhysRevLett.96.121601},
journal = {Physical Review Letters},
number = 12,
volume = 96,
place = {United States},
year = {Fri Mar 31 00:00:00 EST 2006},
month = {Fri Mar 31 00:00:00 EST 2006}
}