Infrared Behavior of Gluon and Ghost Propagators in Landau Gauge QCD

Journal Article · Sat Nov 01 04:00:00 EST 1997 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.79.3591· OSTI ID:545001

von Smekal, L ^[1]; Hauck, A; Alkofer, R ^[2]

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1. Physics Division, Argonne National Laboratory, Argonne, Illinois 60439 (United States)
2. Institut fuer Theoretische Physik, Universitaet Tuebingen, Auf der Morgenstelle 14, 72076 Tuebingen (Germany)

A truncation scheme for the Dyson-Schwinger equations of Euclidean QCD in Landau gauge is presented. It implements the Slavnov-Taylor identities for the three-gluon and ghost-gluon vertices, whereas irreducible four-gluon couplings as well as the gluon-ghost and ghost-ghost scattering kernels are neglected. The infrared behavior of gluon and ghost propagators is obtained analytically: The gluon propagator vanishes for small momenta, whereas the ghost propagator diverges strongly. The numerical solutions are compared with recent lattice results. The running coupling approaches a fixed point, {alpha}{sub c}{approx_equal}9.5 , in the infrared. {copyright} {ital 1997} {ital The American Physical Society}

• Research Organization: Argonne National Laboratory (ANL), Argonne, IL
• DOE Contract Number: W-31109-ENG-38
• OSTI ID: 545001
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 19 Vol. 79; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
COUPLING
GLUONS
GREEN FUNCTION
INFRARED DIVERGENCES
MASSLESS PARTICLES
NUMERICAL SOLUTION
PROPAGATOR
QUANTUM CHROMODYNAMICS
RENORMALIZATION
SCHWINGER FUNCTIONAL EQUATIONS