The Wu-Yang ambiguity revisited

Freedman, Daniel Z.; Khuri, Ramzi R.

doi:10.1016/0370-2693(94)90770-6

The Wu-Yang ambiguity revisited

Daniel Z. Freedman
(
- CERN
)
,
Ramzi R. Khuri
(
- CERN
)

Mar, 1994

12 pages

Published in:

Phys.Lett.B 329 (1994) 263-270

e-Print:

hep-th/9403031 [hep-th]

DOI:

10.1016/0370-2693(94)90770-6

Report number:

CERN-TH-7187-94,
MIT-CTP-2282

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Abstract:

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

.

gauge field theory: SU(2)
dimension: 3
field equations: solution
space-time: torsion

References(20)

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