Quantum phase space from string solitons

Nov, 1996
32 pages
Published in:
  • Phys.Rev.D 55 (1997) 7859-7871
e-Print:
Report number:
  • OUTP-96-66-P,
  • DSF-53-96,
  • OUTP-96-66P

Citations per year

199619982000200220032951
Abstract:
In this paper we view the σ\sigma-model couplings of appropriate vertex operators describing the interaction of string matter with a certain type of string solitons (0-branes) as the quantum phase space of a point particle. The σ\sigma-model is slightly non critical, and therefore one should dress it with a Liouville mode. Quantization is achieved by summing over woorld-sheet genera (in the pinched approximation). To leading order in the coupling constant expansion, the quantization reproduces the usual quantum mechanical commutator. We attempt to go beyond leading order and we reproduce the generalized string uncertainty principle.
Note:
  • 32 pages LATEX, correction of a minor typo in formula (88)
  • 11.25.Db
  • sigma model: nonlinear
  • string model
  • membrane model: p-brane
  • soliton
  • quantization
  • operator: vertex
  • phase space