A solution to coupled Dyson{endash}Schwinger equations for gluons and ghosts in Landau gauge

Journal Article · Wed Jul 01 04:00:00 EDT 1998 · Annals of Physics (New York)

DOI:https://doi.org/10.1006/aphy.1998.5806· OSTI ID:641589

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

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1. Physics Division, Argonne National Laboratory, Argonne, Illinois 60439-4843 (United States)
2. Institut fuer Theoretische Physik, Universitaet Tuebingen, Auf der Morgenstelle 14, 72076 Tuebingen (Germany)

A truncation scheme for the Dyson{endash}Schwinger equations of QCD in Landau gauge is presented which implements the Slavnov{endash}Taylor identities for the 3-point vertex functions. Neglecting contributions from 4-point correlations such as the 4-gluon vertex function and irreducible scattering kernels, a closed system of equations for the propagators is obtained. For the pure gauge theory without quarks this system of equations for the propagators of gluons and ghosts is solved in an approximation which allows for an analytic discussion of its solutions in the infrared: The gluon propagator is shown to vanish for small spacelike momenta whereas the ghost propagator is found to be infrared enhanced. The running coupling of the non-perturbative subtraction scheme approaches an infrared stable fixed point at a critical value of the coupling, {alpha}{sub c}{approx_equal}9.5. The gluon propagator is shown to have no Lehmann representation. The results for the propagators obtained here compare favorably with recent lattice calculations. {copyright} 1998 Academic Press, Inc.

• DOE Contract Number: W-31109-ENG-38
• OSTI ID: 641589
• Journal Information: Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 1 Vol. 267; ISSN APNYA6; ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
BAG MODEL
CLOUDS
CONFINEMENT
GLUONS
PROPAGATOR
QUANTUM CHROMODYNAMICS
QUARK-GLUON INTERACTIONS
QUARK-QUARK INTERACTIONS
RENORMALIZATION
SCALE INVARIANCE