Einstein-Yang-Mills pseudoparticles and electric charge quantization

Details Einstein-Yang-Mills pseudoparticles and electric charge quantization Einstein-Yang-Mills pseudoparticles and electric charge quantization

Oct 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978phrvd..18.2788d&link_type=abstract

Physical Review D (Particles and Fields), Volume 18, Issue 8, 15 October 1978, pp.2788-2797

Physics

12

Scientific paper

Solutions of the Euclidean-space Einstein-Yang-Mills equations are presented which describe a dyon black hole of mass M, angular momentum J, electric charge Qe, and magnetic charge Qm. In addition to the usual magnetic-charge quantization rule eQm = m (m=integer), the space-time topology of the Euclidean black hole, in particular the periodicity in the time coordinate, leads to a new electric-charge quantization eQe = n(1-r-r+), where n=integer and r+/- = M+/-[M2+J2M-2+4π(Qe2-Q2m]12. Regarded as a (non-self-dual) Einstein-Yang-Mills pseudoparticle, the solution has finite action, a gravitational Euler number χ=2, and an SU(2) Pontryagin number P=2 mn.

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