Chiral dynamics and heavy quark symmetry in a solvable toy field-theoretic model

Journal Article · Sat Jan 01 04:00:00 EST 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.49.409· OSTI ID:5288322

Bardeen, W A ^[1]; Hill, C T ^[2]

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1. Theoretical Physics, SSC Laboratory, 2550 Beckleymeade Avenue, Dallas, Texas 75237-3946 (United States)
2. Fermi National Accelerator Laboratory, P.O. Box 500, Batavia, Illinois 60510 (United States)

We study a solvable QCD-like toy theory, a generalization of the Nambu--Jona-Lasinio model, which implements chiral symmetries of light quarks and heavy quark symmetry. The chiral symmetric and chiral broken phases can be dynamically tuned. This implies a parity-doubled heavy-light meson system, corresponding to a (0[sup [minus]],1[sup [minus]]) multiplet and a (0[sup +],1[sup +]) heavy spin multiplet. Consequently the mass difference of the two multiplets is given by a Goldberger-Treiman relation and [ital g][sub [ital A]] is found to be small. The Isgur-Wise function [xi]([ital w]), the decay constant [ital f][sub [ital B]], and other observables are studied.

• OSTI ID: 5288322
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 49:1; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662120* -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
662230 -- Quantum Chromodynamics-- (1992-)
662420 -- Properties of Mesons & Meson Resonances-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANOMALOUS DIMENSION
CHIRAL SYMMETRY
CORRECTIONS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
GOLDBERGER-TREIMAN RELATION
MASS DIFFERENCE
MULTIPLETS
PARITY
PARTICLE MULTIPLETS
PARTICLE PROPERTIES
POSTULATED PARTICLES
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARKS
RADIATIVE CORRECTIONS
SCALE DIMENSION
SYMMETRY
SYMMETRY BREAKING