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

Access to Document

10.1016/0550-3213(81)90202-9

Fingerprint Dive into the research topics of 'Covariant quantization of gauge fields without Gribov ambiguity'. Together they form a unique fingerprint.

Cite this

@article{6e96bb695914419aafd82d2de5a5c755,

title = "Covariant quantization of gauge fields without Gribov ambiguity",

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",

year = "1981",

month = nov,

day = "23",

doi = "10.1016/0550-3213(81)90202-9",

language = "English (US)",

volume = "192",

pages = "259--269",

journal = "Nuclear Physics B",

issn = "0550-3213",

publisher = "Elsevier",

number = "1",

}

TY - JOUR

T1 - Covariant quantization of gauge fields without Gribov ambiguity

AU - Zwanziger, Daniel

PY - 1981/11/23

Y1 - 1981/11/23

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=0001659053&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001659053&partnerID=8YFLogxK

U2 - 10.1016/0550-3213(81)90202-9

DO - 10.1016/0550-3213(81)90202-9

M3 - Article

AN - SCOPUS:0001659053

VL - 192

SP - 259

EP - 269

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1

ER -