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Volume 116B, number 4 PHYSICSLETTERS 14 October 1982 CHARGE DEFINITION IN NON-ABEL[AN GAUGE THEORIES ~
 

Summary: Volume 116B, number 4 PHYSICSLETTERS 14 October 1982
CHARGE DEFINITION IN NON-ABEL[AN GAUGE THEORIES ~
L.F. ABBOTT and S. DESER
Brandeis University, Waltham, MA 02254, USA
Received 9 June 1982
Conserved gauge-invariant electric and magnetic charges are defined for non-abelian gauge theories in terms of the
asymptotic symmetries of the field configurations. They are expressed as flux integrals. Illustrations include the magnetic
charge of the 't Hooft-Polyakov monopole and the electric and magnetic charges of the Julia=Zee dyon.
1. Introduction. Despite the formal similarities
between Yang-Mills and Maxwell theories, it is well-
known that the definition of charge is much more
subtle in the non-abelian case because the field strengths,
rather than being invariants, transform as gauge vectors.
The same situation occurs in gravity where the curva-
tures are gauge tensors and the "charges" include ener-
gy; but there is by now general agreement, both on in-
tuitive and formal levels, as to the correct definition
of gravitational energy. It is our purpose here to provide
a framework for defining charges in Yang-Mills theory
corresponding closely to that of gravity. We shall fol-

  

Source: Abbott, Laurence - Center for Neurobiology and Behavior & Department of Physiology and Cellular Biophysics, Columbia University

 

Collections: Biology and Medicine