Calculation of the pion's quark distribution amplitude in lattice QCD with dynamical fermions

Journal Article · Sat Jun 01 04:00:00 EDT 1991 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.43.3715· OSTI ID:5591985

Daniel, D ^[1]; Gupta, R ^[2]; Richards, D G ^[3]

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1. T-8 (MS-B285), Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (USA) Physics Department, University of Edinburgh, Edinburgh EH9 3JZ (Scotland)
2. T-8 (MS-B285), Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (USA)
3. Physics Department, University of Edinburgh, Edinburgh EH9 3JZ (Scotland)

We present a calculation of the pion decay constant and of the second moment of the quark distribution amplitude of the pion within full lattice QCD. Measurements are made on 12{sup 3}{times}24 and 16{sup 3}{times}32 lattices, using two flavors of Wilson fermion. Different methods used to extract {ital f}{sub {pi}} give consistent results. We find a better signal for the second moment of the distribution amplitude than in previous lattice calculations and obtain results that are significantly smaller than those obtained from sum-rule calculations and previously in (quenched) lattice QCD.

• OSTI ID: 5591985
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 43:11; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645204 -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
BOSONS
COMPOSITE MODELS
DECAY
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FIELD THEORIES
FLAVOR MODEL
FUNCTIONS
HADRONS
LATTICE FIELD THEORY
LIGHT CONE
MATHEMATICAL MODELS
MESONS
PARTICLE MODELS
PERTURBATION THEORY
PIONS
PSEUDOSCALAR MESONS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
RENORMALIZATION
SCATTERING AMPLITUDES
SPACE-TIME
SUM RULES
WAVE FUNCTIONS