Goldstone bosons decoupling from high-lying hadrons

Journal Article · Sat Apr 01 04:00:00 EST 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.73.074018· OSTI ID:20782814

Glozman, L Ya; Nefediev, A V ^[1]

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1. Institute for Physics, University of Graz, Universitaetsplatz 5, A-8010 Graz (Austria)

In this paper, we discuss a decoupling of the Goldstone bosons from highly excited hadrons in relation to the restoration of chiral symmetry in such hadrons. We use a generalized Nambu-Jona-Lasinio model with the interaction between quarks in the form of an instantaneous Lorentz-vector confining potential. This model is known to provide spontaneous breaking of chiral symmetry in the vacuum via the standard self-energy loops for valence quarks. For highly excited hadrons, where the typical momentum of valence quarks is large, the loop contributions represent only a small correction to the chiral-invariant classical contributions and asymptotically vanish. Consequently, the chiral symmetry violating Lorentz-scalar dynamical mass of quarks vanishes. Then the conservation of the axial-vector current in the chiral limit requires, via the Goldberger-Treiman relation, that the valence quarks decouple from the Goldstone boson. As a consequence, the whole hadron decouples from the Goldstone boson as well, which implies that its axial constant also vanishes.

• OSTI ID: 20782814
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 7 Vol. 73; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AXIAL-VECTOR CURRENTS
CHIRAL SYMMETRY
CHIRALITY
CORRECTIONS
DECOUPLING
GOLDBERGER-TREIMAN RELATION
GOLDSTONE BOSONS
HADRONS
PARTICLE INTERACTIONS
POTENTIALS
QUARKS
REST MASS
SCALARS
SELF-ENERGY
VALENCE
VECTORS