Calculation of the pion decay constant in the framework of the Bethe-Salpeter equation

Journal Article · Sun Sep 15 04:00:00 EDT 1991 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.44.1873· OSTI ID:5150008

Jain, P; Munczek, H J ^[1]

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1. Department of Physics and Astronomy, The University of Kansas, Lawrence, Kansas (USA)

We elaborate on the calculation of the pion decay constant {ital f}{sub {pi}} in the context of QCD and in the limit of purely spontaneous chiral-symmetry breaking. We use the expressions given by relativistic bound-state theory which require the simultaneous solution of the Schwinger-Dyson equation and of the Bethe-Salpeter equation developed to first order in the pion momentum. The equations are solved by numerical iteration in the Landau gauge and in the ladder approximation, but without any further approximations. We use a model for the gluon propagator with ultraviolet behavior determined by renormalization-group considerations and discuss its influence on the determination of {ital f}{sub {pi}}. We analyze approximations that have been used in the literature for the calculation of {ital f}{sub {pi}} and discuss their limitations.

• DOE Contract Number: FG02-85ER40214
• OSTI ID: 5150008
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 44:6; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

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645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BETHE-SALPETER EQUATION
BOSONS
BOUND STATE
CHIRAL SYMMETRY
DECAY
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FIELD THEORIES
FUNCTIONS
GENERAL RELATIVITY THEORY
GLUONS
HADRONIC PARTICLE DECAY
HADRONS
ISOSPIN
ITERATIVE METHODS
LADDER APPROXIMATION
MESONS
PARTICLE DECAY
PARTICLE PROPERTIES
PIONS
POSTULATED PARTICLES
PROPAGATOR
PSEUDOSCALAR MESONS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARKS
RELATIVITY THEORY
RENORMALIZATION
SUM RULES
SYMMETRY
SYMMETRY BREAKING
WAVE FUNCTIONS