Volume behavior of quark condensate, pion mass, and decay constant from Dyson-Schwinger equations

Journal Article · Sat May 01 04:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.094005· OSTI ID:21409929

Luecker, Jan; Williams, Richard ^[1]; Fischer, Christian S ^[1]

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1. Institut fuer Kernphysik, Technische Universitaet Darmstadt, Schlossgartenstrasse 9, D-64289 Darmstadt (Germany)

We solve the coupled system of Dyson-Schwinger and Bethe-Salpeter equations for the quark propagator and the pion Bethe-Salpeter amplitude on a finite volume. To this end we use a truncation scheme that includes pion cloud effects in the quark propagator and light mesons. We study volume effects in the quark condensate, the pion mass, and the pion decay constant and compare to corresponding results in other approaches. In general we find large effects for volumes below V=(1.8 fm){sup 4}.

• OSTI ID: 21409929
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 9 Vol. 81; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
BETHE-SALPETER EQUATION
BOSONS
COMPARATIVE EVALUATIONS
DECAY
ELEMENTARY PARTICLES
EQUATIONS
EVALUATION
FERMIONS
FIELD THEORIES
HADRONS
MASS
MESONS
PARTICLE DECAY
PIONS
PROPAGATOR
PSEUDOSCALAR MESONS
QUANTUM FIELD THEORY
QUARK CONDENSATION
QUARKS