The Gribov ambiguity in gauge theories on the four-torus

T. P. Killingback

doi:10.1016/0370-2693(84)91878-1

The Gribov ambiguity in gauge theories on the four-torus

T. P. Killingback

Mathematics

Department of Physics

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

Abstract

It is shown that it is impossible to fix the gauge (i.e., there is a Gribov ambiguity) in a non-abelian gauge theory, with any gauge group, defined on the four-torus (which corresponds to a four-dimensional euclidean gauge theory with periodic boundary conditions). It is also shown that a Gribov ambiguity exists in SU(2) gauge theories defined on S² × S² and the existence of the Gribov phenomenon is related to the existence of inequivalent quantizations of these theories.

Original language	English
Pages (from-to)	87-90
Number of pages	4
Journal	Physics Letters B
Volume	138
Issue number	1-3
DOIs	https://doi.org/10.1016/0370-2693(84)91878-1
State	Published - Apr 12 1984

ASJC Scopus Subject Areas

Nuclear and High Energy Physics

Access to Document

10.1016/0370-2693(84)91878-1

Cite this

@article{3f488a1341fd4db3a1a5bae0d03edec3,

title = "The Gribov ambiguity in gauge theories on the four-torus",

abstract = "It is shown that it is impossible to fix the gauge (i.e., there is a Gribov ambiguity) in a non-abelian gauge theory, with any gauge group, defined on the four-torus (which corresponds to a four-dimensional euclidean gauge theory with periodic boundary conditions). It is also shown that a Gribov ambiguity exists in SU(2) gauge theories defined on S2 {\texttimes} S2 and the existence of the Gribov phenomenon is related to the existence of inequivalent quantizations of these theories.",

author = "Killingback, \{T. P.\}",

year = "1984",

month = apr,

day = "12",

doi = "10.1016/0370-2693(84)91878-1",

language = "English",

volume = "138",

pages = "87--90",

journal = "Physics Letters B",

issn = "0370-2693",

publisher = "Elsevier B.V.",

number = "1-3",

}

TY - JOUR

T1 - The Gribov ambiguity in gauge theories on the four-torus

AU - Killingback, T. P.

PY - 1984/4/12

Y1 - 1984/4/12

N2 - It is shown that it is impossible to fix the gauge (i.e., there is a Gribov ambiguity) in a non-abelian gauge theory, with any gauge group, defined on the four-torus (which corresponds to a four-dimensional euclidean gauge theory with periodic boundary conditions). It is also shown that a Gribov ambiguity exists in SU(2) gauge theories defined on S2 × S2 and the existence of the Gribov phenomenon is related to the existence of inequivalent quantizations of these theories.

AB - It is shown that it is impossible to fix the gauge (i.e., there is a Gribov ambiguity) in a non-abelian gauge theory, with any gauge group, defined on the four-torus (which corresponds to a four-dimensional euclidean gauge theory with periodic boundary conditions). It is also shown that a Gribov ambiguity exists in SU(2) gauge theories defined on S2 × S2 and the existence of the Gribov phenomenon is related to the existence of inequivalent quantizations of these theories.

UR - https://www.scopus.com/pages/publications/0002119147

UR - https://www.scopus.com/pages/publications/0002119147#tab=citedBy

U2 - 10.1016/0370-2693(84)91878-1

DO - 10.1016/0370-2693(84)91878-1

M3 - Article

AN - SCOPUS:0002119147

SN - 0370-2693

VL - 138

SP - 87

EP - 90

JO - Physics Letters B

JF - Physics Letters B

IS - 1-3

ER -

The Gribov ambiguity in gauge theories on the four-torus

Abstract

ASJC Scopus Subject Areas

Access to Document

Other files and links

Fingerprint

Cite this