On the field strength-potential connection in non-abelian gauge theory

Sorin Solomon

doi:10.1016/0550-3213(79)90421-8

On the field strength-potential connection in non-abelian gauge theory

Sorin Solomon^*

^*Corresponding author for this work

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

13 Scopus citations

Abstract

Given a non-Abelian field of the form f{hook}_μν = f{hook}(x) f{hook}_μν(x) we have found all possible potentials that generate a given field strength. We established the classes of non-gauge-equivalent potentials among them. These can be parametrized by the formula: A_μ = B₀(X₀(x), X₁(x)) ∂_μX₀ + B₁(X₀(x), X₁(x)) ∂_μX₁, where the functions B, X are defined in the text. We solved the same problem for general non-Abelian gauge fields in 2-dimensions. It turns out that the classes of non-gauge equivalent potentials are in close correspondence for the two problems.

Original language	English
Pages (from-to)	174-188
Number of pages	15
Journal	Nuclear Physics B
Volume	147
Issue number	1-2
DOIs	https://doi.org/10.1016/0550-3213(79)90421-8
State	Published - 1979
Externally published	Yes

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title = "On the field strength-potential connection in non-abelian gauge theory",

abstract = "Given a non-Abelian field of the form f\{hook\}μν = f\{hook\}(x) f\{hook\}μν(x) we have found all possible potentials that generate a given field strength. We established the classes of non-gauge-equivalent potentials among them. These can be parametrized by the formula: Aμ = B0(X0(x), X1(x)) ∂μX0 + B1(X0(x), X1(x)) ∂μX1, where the functions B, X are defined in the text. We solved the same problem for general non-Abelian gauge fields in 2-dimensions. It turns out that the classes of non-gauge equivalent potentials are in close correspondence for the two problems.",

author = "Sorin Solomon",

year = "1979",

doi = "10.1016/0550-3213(79)90421-8",

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T1 - On the field strength-potential connection in non-abelian gauge theory

AU - Solomon, Sorin

PY - 1979

Y1 - 1979

N2 - Given a non-Abelian field of the form f{hook}μν = f{hook}(x) f{hook}μν(x) we have found all possible potentials that generate a given field strength. We established the classes of non-gauge-equivalent potentials among them. These can be parametrized by the formula: Aμ = B0(X0(x), X1(x)) ∂μX0 + B1(X0(x), X1(x)) ∂μX1, where the functions B, X are defined in the text. We solved the same problem for general non-Abelian gauge fields in 2-dimensions. It turns out that the classes of non-gauge equivalent potentials are in close correspondence for the two problems.

AB - Given a non-Abelian field of the form f{hook}μν = f{hook}(x) f{hook}μν(x) we have found all possible potentials that generate a given field strength. We established the classes of non-gauge-equivalent potentials among them. These can be parametrized by the formula: Aμ = B0(X0(x), X1(x)) ∂μX0 + B1(X0(x), X1(x)) ∂μX1, where the functions B, X are defined in the text. We solved the same problem for general non-Abelian gauge fields in 2-dimensions. It turns out that the classes of non-gauge equivalent potentials are in close correspondence for the two problems.

UR - https://www.scopus.com/pages/publications/4243985485

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SN - 0550-3213

VL - 147

SP - 174

EP - 188

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 1-2

ER -

On the field strength-potential connection in non-abelian gauge theory

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