Covariant quantization of gauge fields without Gribov ambiguity

Daniel Zwanziger

doi:10.1016/0550-3213(81)90202-9

Covariant quantization of gauge fields without Gribov ambiguity

Daniel Zwanziger

Research output: Contribution to journal › Article › peer-review

Abstract

Recently Parisi and Wu proposed a method of quantizing gauge fields whereby euclidean expectation values are obtained by relaxation to equilibrium of a stochastic process depending on an artificial fifth time parameter. In the present work the equilibrium distribution is determined directly, without reference to the artificial time, by a stationary condition which is an eigenfunction equation in the euclidean Hilbert space. The solution has a perturbative expansion which appears renormalizable by naive power counting. Because of gauge freedom, a free dimensionless gauge parameter appears in the theory although no gauge condition such as ∂ · A = 0 is imposed.

Original language	English (US)
Pages (from-to)	259-269
Number of pages	11
Journal	Nuclear Physics, Section B
Volume	192
Issue number	1
DOIs	https://doi.org/10.1016/0550-3213(81)90202-9
State	Published - Nov 23 1981

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0550-3213(81)90202-9

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abstract = "Recently Parisi and Wu proposed a method of quantizing gauge fields whereby euclidean expectation values are obtained by relaxation to equilibrium of a stochastic process depending on an artificial fifth time parameter. In the present work the equilibrium distribution is determined directly, without reference to the artificial time, by a stationary condition which is an eigenfunction equation in the euclidean Hilbert space. The solution has a perturbative expansion which appears renormalizable by naive power counting. Because of gauge freedom, a free dimensionless gauge parameter appears in the theory although no gauge condition such as ∂ · A = 0 is imposed.",

author = "Daniel Zwanziger",

note = "Funding Information: 1 Research supported in part by National Science Foundation grant no. PHY78-21503.",

year = "1981",

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AB - Recently Parisi and Wu proposed a method of quantizing gauge fields whereby euclidean expectation values are obtained by relaxation to equilibrium of a stochastic process depending on an artificial fifth time parameter. In the present work the equilibrium distribution is determined directly, without reference to the artificial time, by a stationary condition which is an eigenfunction equation in the euclidean Hilbert space. The solution has a perturbative expansion which appears renormalizable by naive power counting. Because of gauge freedom, a free dimensionless gauge parameter appears in the theory although no gauge condition such as ∂ · A = 0 is imposed.

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Covariant quantization of gauge fields without Gribov ambiguity

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