Constrained quenched master field for continuum QCD

Stochastic quantization of theories of unitary matrices is achieved via general Langevin-Fokker-Planck systems on group space. Lattice gauge theories and large- N quenching are discussed. Emphasis is on a new Langevin equation for the Gross-Kitazawa constrained gluon. Total (space-time) quenching is...

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Bibliographic Details
Published inNuclear physics. B Vol. 228; no. 1; pp. 173 - 189
Main Author Halpern, M.B.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 01.01.1983
Elsevier
Subjects
Classical and quantum physics: mechanics and fields
Exact sciences and technology
Physics
Theory of quantized fields
Gauge theory
Quantum field theory
Fokker Planck equation
Langevin equation
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Summary:Stochastic quantization of theories of unitary matrices is achieved via general Langevin-Fokker-Planck systems on group space. Lattice gauge theories and large- N quenching are discussed. Emphasis is on a new Langevin equation for the Gross-Kitazawa constrained gluon. Total (space-time) quenching is demonstrated to all orders for this field, resulting in an algebraic master equation for a properly constrained quenched master field for continuum QCD.
ISSN:0550-3213
1873-1562
DOI:10.1016/0550-3213(83)90404-2