The Wu-Yang ambiguity revisited

Several examples are given of continuous families of SU(2) vector potentials $A_i^a(x)$ in 3 space dimensions which generate the same magnetic field $B^{ai}(x)$ (with det $B\neq 0$). These Wu-Yang families are obtained from the Einstein equation $R_{ij}=-2G_{ij}$ derived recently via a local map of...

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Detalles Bibliográficos
Autores principales: Freedman, Daniel Z., Khuri, Ramzi R.
Lenguaje:eng
Publicado: 1994
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1016/0370-2693(94)90770-6
http://cds.cern.ch/record/690757
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author Freedman, Daniel Z.
Khuri, Ramzi R.
author_facet Freedman, Daniel Z.
Khuri, Ramzi R.
author_sort Freedman, Daniel Z.
collection CERN
description Several examples are given of continuous families of SU(2) vector potentials $A_i^a(x)$ in 3 space dimensions which generate the same magnetic field $B^{ai}(x)$ (with det $B\neq 0$). These Wu-Yang families are obtained from the Einstein equation $R_{ij}=-2G_{ij}$ derived recently via a local map of the gauge field system into a spatial geometry with $2$-tensor $G_{ij}=B^a{}_i B^a{}_j\det B$ and connection $\Gamma_{jk}^i$ with torsion defined from gauge covariant derivatives of $B$.
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spelling cern-6907572023-03-14T17:11:42Zdoi:10.1016/0370-2693(94)90770-6http://cds.cern.ch/record/690757engFreedman, Daniel Z.Khuri, Ramzi R.The Wu-Yang ambiguity revisitedParticle Physics - TheorySeveral examples are given of continuous families of SU(2) vector potentials $A_i^a(x)$ in 3 space dimensions which generate the same magnetic field $B^{ai}(x)$ (with det $B\neq 0$). These Wu-Yang families are obtained from the Einstein equation $R_{ij}=-2G_{ij}$ derived recently via a local map of the gauge field system into a spatial geometry with $2$-tensor $G_{ij}=B^a{}_i B^a{}_j\det B$ and connection $\Gamma_{jk}^i$ with torsion defined from gauge covariant derivatives of $B$.Several examples are given of continuous families of SU(2) vector potentials $A_i~a(x)$ in 3 space dimensions which generate the same magnetic field $B~{ai}(x)$ (with det $B\neq 0$). These Wu-Yang families are obtained from the Einstein equation $R_{ij}=-2G_{ij}$ derived recently via a local map of the gauge field system into a spatial geometry with $2$-tensor $G_{ij}=B~a{}_i B~a{}_j\det B$ and connection $\Gamma_{jk}~i$ with torsion defined from gauge covariant derivatives of $B$.Several examples are given of continuous families of SU(2) vector potentials A a i ( x ) in 3 space dimensions which generate the same magnetic field B ai ( x ) (with det B ≠ 0). These Wu-Yung families are obtained from the Einstein equation R ij = −2 G ij derived recently via a local map of the gauge field system into a spatial geometry with 2-tensor G ij = B a i B a j det B and connection Γ i jk with torsion defined from gauge covariant derivatives of B .hep-th/9403031CERN-TH-7187-94MIT-CTP-2282CERN-TH-7187-94CTP-2282oai:cds.cern.ch:6907571994
spellingShingle Particle Physics - Theory
Freedman, Daniel Z.
Khuri, Ramzi R.
The Wu-Yang ambiguity revisited
title The Wu-Yang ambiguity revisited
title_full The Wu-Yang ambiguity revisited
title_fullStr The Wu-Yang ambiguity revisited
title_full_unstemmed The Wu-Yang ambiguity revisited
title_short The Wu-Yang ambiguity revisited
title_sort wu-yang ambiguity revisited
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/0370-2693(94)90770-6
http://cds.cern.ch/record/690757
work_keys_str_mv AT freedmandanielz thewuyangambiguityrevisited
AT khuriramzir thewuyangambiguityrevisited
AT freedmandanielz wuyangambiguityrevisited
AT khuriramzir wuyangambiguityrevisited

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