(1) Institute of Physics, Institute for Advanced Study, Alpha Foundation, 11 Rutafa Street, Building H, Budapest, H-1165, Hungary
Abstract:
The archetypical and phaseless vacuum magnetic flux density of O(3) electrodynamics, the B(3) field, is derived from the irreducible representation of the Einstein group and is shown to be accompanied by a vacuum energy density which depends directly on the square of the scalar curvature R of curved spacetime. The B(3) field and the vacuum energy density are obtained respectively from the non-Abelian part of the field tensor F and the non-Abelian part of the metrical field equation. Both of these terms are given by Sachs [5].