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Variational methods in the master field formulation for (3+1)-dimensional quantum chromodynamics

Variational methods in the master field formulation for (3+1)-dimensional quantum chromodynamics Master fields are formulated for finite- N (3+1)-dimensional QCD. They satisfy classical Yang-Mills equations with an infinite number of internal indices and an infinite number of constraints. Master fields and constraints on them in the large- N limit ( N → ∞ with fixed g 2 N ) are derived from the finite- N master fields and constraints using vacuum dominance among color-singlet states. Explicit solutions for the large- N constraints are given and used as trial functions in a Hartree-Fock variational calculation. This Hartree-Fock method can include essential features of gluon condensation effects in the QC D 3 + 1 vacuum which is expected to cause confinement. Inclusion of quark fields and Hartree-Fock equations for the meson energy spectrum are also discussed. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review D American Physical Society (APS)

Variational methods in the master field formulation for (3+1)-dimensional quantum chromodynamics

Physical Review D , Volume 29 (12) – Jun 15, 1984
20 pages

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Publisher
American Physical Society (APS)
Copyright
Copyright © 1984 The American Physical Society
ISSN
1089-4918
DOI
10.1103/PhysRevD.29.2952
Publisher site
See Article on Publisher Site

Abstract

Master fields are formulated for finite- N (3+1)-dimensional QCD. They satisfy classical Yang-Mills equations with an infinite number of internal indices and an infinite number of constraints. Master fields and constraints on them in the large- N limit ( N → ∞ with fixed g 2 N ) are derived from the finite- N master fields and constraints using vacuum dominance among color-singlet states. Explicit solutions for the large- N constraints are given and used as trial functions in a Hartree-Fock variational calculation. This Hartree-Fock method can include essential features of gluon condensation effects in the QC D 3 + 1 vacuum which is expected to cause confinement. Inclusion of quark fields and Hartree-Fock equations for the meson energy spectrum are also discussed.

Journal

Physical Review DAmerican Physical Society (APS)

Published: Jun 15, 1984

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