ARE THERE CHROMODYONS?

Dec, 1982
30 pages
Published in:
  • Nucl.Phys.B 226 (1983) 309-338
  • Published: 1983
Report number:
  • HUTP-82/A058

Citations per year

198319932003201320230246810
Abstract: (Elsevier)
The problem of the monopole infinite moments of inertia, and the related degeneracies in the dyon spectrum of a grand unified theory in the absence of light fermions is considered. A careful application to gauge theories of the method of collective coordinates is given in two different classes of gauges. A basic defect in the earlier treatments of the subject is pointed out. It is shown that the commonly accepted method, while giving reasonable qualitative results for the dyon spectrum in the SO(3) model, fails completely when applied to grand unified theories. The reason is simply that there is a contribution to the monopole moments of inertia that has so far been overlooked. This contribution is of the same order of magnitude as the already known one. The sum of the two contributions vanishes for these moments of inertia that have been thought to be infinite. This means that, in a grand unified theory without light fermions, dyon states transforming as definite color representations (chromodyons) do not exist if we believe this lowest-order analysis (which is almost all what one can do to show their existence). It is shown that applying the Bohr-Sommerfeld method to the classical dyon solutions leads to the same result.
  • POSTULATED PARTICLE: MAGNETIC MONOPOLE
  • GRAND UNIFIED THEORY
  • GAUGE FIELD THEORY: COLLECTIVE PHENOMENA
  • FIELD THEORY: NONLOCAL
  • FIELD EQUATIONS: DYON
  • FIELD EQUATIONS: SOLITON
  • APPROXIMATION: semiclassical
  • SPONTANEOUS SYMMETRY BREAKING
  • GAUGE FIELD THEORY: COULOMB GAUGE
  • GAUGE FIELD THEORY: TEMPORAL GAUGE