Nonperturbative QCD, Gauge-Fixing, Gribov Copies and the Lattice | Zendy

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Nonperturbative QCD, Gauge-Fixing, Gribov Copies and the Lattice

Author(s) -

Anthony G. Williams

Publication year - 2003

Publication title -

progress of theoretical physics supplement

Language(s) - English

Resource type - Journals

ISSN - 0375-9687

DOI - 10.1143/ptps.151.154

Subject(s) - brst quantization , physics , quantum chromodynamics , gauge fixing , particle physics , lattice qcd , lattice gauge theory , mathematical physics , gauge theory , gauge (firearms) , lattice (music) , lattice field theory , perturbative qcd , gauge boson , archaeology , acoustics , history

Perturbative QCD uses the Faddeev-Popov gauge-fixing procedure, which leadsto ghosts and the local BRST invariance of the gauge-fixed perturbative QCDaction. In the asymptotic regime, where perturbative QCD is relevant, Gribovcopies can be neglected. In the nonperturbative regime, one must adopt either anonlocal Gribov-copy free gauge (e.g., Laplacian gauge) or attempt to maintainlocal BRST invariance at the expense of admitting Gribov copies. These issuesare explored. In addition, we discuss the relationship between recentDyson-Schwinger based model calculations of the infrared behavior of QCDGreen's functions and the lattice calculation of these quantities.Comment: 9 pages, 2 figures, to appear in Prog. Theor. Phys. Suppl. in the proceedings of the Tokyo-Adelaide Joint Workshop on Quarks, Astrophysics and Space Physic

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