Parity Doubling and SU(2){sub L}xSU(2){sub R} Restoration in the Hadron Spectrum

doi:10.1103/PhysRevLett.96.121601

Title: Parity Doubling and SU(2){sub L}xSU(2){sub R} Restoration in the Hadron Spectrum

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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:

Jaffe, R.L.; Pirjol, Dan; Scardicchio, Antonello ^[1]

Center for Theoretical Physics, Laboratory for Nuclear Science, and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)

Publication Date:: Fri Mar 31 00:00:00 EST 2006

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.

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                    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.

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                    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.

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@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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DOI: 10.1103/PhysRevLett.96.121601

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