QCD-based effective Lagrangian including quark mass effects: Calculation of f/sub K/

Journal Article · Wed Feb 01 00:00:00 EST 1989 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.39.888· OSTI ID:6456070

Munczek, H J; McKay, D W

Quark mass effects are included in the construction of an effective Lagrangian with bilocal pion and kaon fields. We discuss the appropriate Schwinger-Dyson equations and the choice of pseudo- scalar particle wave functions in the presence of explicit chiral-symmetry breaking. Identifying the pseudoscalar-mass terms in the effective Lagrangian, we reproduce the standard current-algebra mass formulas for charged pions and kaons. Approximate solutions to the u-, d-, and s-quark Schwinger-Dyson equations are constructed. The low-q/sup 2/ region is realistically modeled and the intermediate- and large-q/sup 2/ regions are represented by a superposition of the well-known ''spontaneous'' and ''explicit'' breaking asymptotic QCD solutions. We couple the W-boson gauge invariantly to the dynamical quarks and derive formulas for the pion and kaon decay constants f/sub ..pi../ and f/sub K/ in the one-quark-loop approximation. With f/sub ..pi../ = 93 MeV as input, we calculate the value f/sub K//f/sub ..pi../ = 1.13, compared to 1.16 experimentally, for a representative value ..lambda../sub QCD/ = 200 MeV. In addition, we comment on the calculation of the pion electromagnetic form factor.

• Research Organization: Department of Physics and Astronomy, The University of Kansas, Lawrence, Kansas 66045
• OSTI ID: 6456070
• Journal Information: Phys. Rev. D; (United States), Vol. 39:3
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUARKS
MASS FORMULAE
BOUND STATE
CHIRAL SYMMETRY
COUPLING CONSTANTS
CURRENT ALGEBRA
DYSON REPRESENTATION
EIGENVALUES
ELECTROMAGNETIC FORM FACTORS
KAONS
LADDER APPROXIMATION
LAGRANGIAN FUNCTION
PIONS
PROPAGATOR
QUANTUM CHROMODYNAMICS
RENORMALIZATION
SYMMETRY BREAKING
WAVE FUNCTIONS
BOSON EXPANSION
BOSONS
ELEMENTARY PARTICLES
FIELD THEORIES
FORM FACTORS
FUNCTIONS
HADRONS
MESONS
PARTICLE PROPERTIES
POSTULATED PARTICLES
PSEUDOSCALAR MESONS
QUANTUM FIELD THEORY
STRANGE MESONS
STRANGE PARTICLES
SYMMETRY
645204* - High Energy Physics- Particle Interactions & Properties-Theoretical- Strong Interactions & Properties
645400 - High Energy Physics- Field Theory