Corrections to the Goldberger-Treiman relation in a unified gauge-field model

Journal Article · Thu Sep 15 04:00:00 EDT 1977 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.16.1840· OSTI ID:5350510

de Wit, B; Maciejko, R; Smith, J

The corrections to the Goldberger-Treiman relation are examined in a unified gauge-field model. The strong interactions are governed by the local chiral SU(2) x SU(2) gauge group, whereas the weak and electromagnetic interactions are based on SU(2) x U(1) gauge invariance. We find that the Goldberger-Treiman formula is a zeroth-order relation, so that its corrections are finite. We estimate the corrections in the case that the pion is a pseudo-Goldstone boson. The result, of which the gauge independence is explicitly verified, is proportional to the weak and electromagnetic coupling constants.

• Research Organization: Instituut-Lorentz, University of Leiden, Leiden, The Netherlands
• OSTI ID: 5350510
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 16:6; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645201* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
CHIRAL SYMMETRY
CORRECTIONS
COUPLING CONSTANTS
DECAY
ELEMENTARY PARTICLES
FIELD THEORIES
GAUGE INVARIANCE
GOLDBERGER-TREIMAN RELATION
GOLDSTONE BOSONS
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL MODELS
MATRIX ELEMENTS
PARTICLE MODELS
POSTULATED PARTICLES
QUANTUM FIELD THEORY
SU GROUPS
SU-2 GROUPS
SYMMETRY
SYMMETRY BREAKING
SYMMETRY GROUPS
U GROUPS
U-1 GROUPS
UNIFIED GAUGE MODELS