Dirac Quantization of N-Solitons

Jun, 1975
30 pages
Published in:
  • Annals Phys. 98 (1976) 1
Report number:
  • MIT-CTP-489

Citations per year

19771989200120132023012345
Abstract: (Elsevier)
In this paper we present methods for quantizing around classical solutions containing an arbitrary number of solitons. These are based on the Dirac theory of quantization under constraints, both in its standard operator form and also its functional form as given by Faddeev. For a particular set of constraints, we obtain an effective Hamiltonian for N solitons which reduces, in the one-soliton case, to that of Gervais and Sakita. The canonical transformation from the original field variables to the new set is explicitly exhibited.
  • FIELD THEORY
  • APPROXIMATION: WKB approximation
  • COUPLING CONSTANT
  • TRANSFORMATION
  • FIELD EQUATIONS
  • MANY-BODY PROBLEM
  • MODEL: SOLITON