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We clarify the relationship between SU(2){sub L}xSU(2){sub R} restoration in the hadron spectrum, parity doubling, and pion-hadron couplings.
Parity Doubling and SU(2){sub L}xSU(2){sub R} Restoration in the Hadron Spectrum
Abstract
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.
- Authors:
-
- Center for Theoretical Physics, Laboratory for Nuclear Science, and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)
- Publication Date:
- OSTI Identifier:
- 20777113
- Resource Type:
- Journal Article
- Resource Relation:
- Journal Name: Physical Review Letters; Journal Volume: 96; Journal Issue: 12; Other Information: DOI: 10.1103/PhysRevLett.96.121601; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CHIRAL SYMMETRY; HADRONS; IRREDUCIBLE REPRESENTATIONS; ISOSPIN; MASS; MULTIPLETS; NONLINEAR PROBLEMS; P INVARIANCE; PARITY; QUANTUM CHROMODYNAMICS; SPIN; SU-2 GROUPS; SYMMETRY BREAKING
Citation Formats
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}
}
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