Is the effective Lagrangian for quantum chromodynamics a sigma model

Journal Article · Sun Jun 15 04:00:00 EDT 1980 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.21.3388· OSTI ID:5294236

Rosenzweig, C; Schechter, J; Trahern, C G

A fully interacting effective chiral Lagrangian obeying the anomalous axial-baryon-current conservation law is constructed. This Lagrangian is a generalization of one implied by the 1/N approximation. In a certain sense, the old sigma model is recovered. Our Lagrangian displays the dependence of amplitudes on the quantum-chromodynamic vacuum angle theta, gives soft eta' theorems, and hints at a possible complementarity between the instanton and 1/N approaches. We can rewrite our model in terms of a gauge-invariant gluon field.

• Research Organization: Physics Department, Syracuse University, Syracuse, New York 13210
• OSTI ID: 5294236
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 21:12; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645301 -- High Energy Physics-- Particle Invariance Principles & Symmetries-- General-- (-1987)
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRAL SYMMETRY
CONSERVATION LAWS
ELEMENTARY PARTICLES
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
GLUONS
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
POSTULATED PARTICLES
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
SIGMA MODEL
SU GROUPS
SU-3 GROUPS
SYMMETRY
SYMMETRY BREAKING
SYMMETRY GROUPS
U GROUPS
U-3 GROUPS
WARD IDENTITY