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Symmetries and conservation laws in gauge theories

โœ Scribed by R Jackiw; N.S Manton

Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
930 KB
Volume
127
Category
Article
ISSN
0003-4916

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โœฆ Synopsis

The relationship between conservation laws and symmetries of space-time is familiar.

Here it is shown that in a symmetric background gauge field these conservation laws persist, but in modified form. A further contribution to the conserved quantity occurs. It is determined by the gauge transformation which, when acting together with some coordinate transformation, leaves the symmetric background gauge-potential invariant. The addition to the constant of motion can also be interpreted as arising from the dynamical interaction of the gauge field with the system. A classical example is the angular momentum conservation law for a charged particle moving in the field of a magnetic monopole. Generalizations of this are here derived.

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