 
Summary: Volume 116B, number 4 PHYSICSLETTERS 14 October 1982
CHARGE DEFINITION IN NONABEL[AN GAUGE THEORIES ~
L.F. ABBOTT and S. DESER
Brandeis University, Waltham, MA 02254, USA
Received 9 June 1982
Conserved gaugeinvariant electric and magnetic charges are defined for nonabelian 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 HooftPolyakov monopole and the electric and magnetic charges of the Julia=Zee dyon.
1. Introduction. Despite the formal similarities
between YangMills and Maxwell theories, it is well
known that the definition of charge is much more
subtle in the nonabelian 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 YangMills theory
corresponding closely to that of gravity. We shall fol
