TOPOLOGY AND FRACTIONAL SPIN IN THE (2+1)-DIMENSIONAL SIGMA MODEL

PAK N., PERCACCI R.

PHYSICAL REVIEW D, vol.43, no.4, pp.1375-1384, 1991 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 43 Issue: 4
  • Publication Date: 1991
  • Doi Number: 10.1103/physrevd.43.1375
  • Journal Name: PHYSICAL REVIEW D
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, INSPEC, zbMATH
  • Page Numbers: pp.1375-1384
  • Middle East Technical University Affiliated: No

Abstract

We discuss the appearance of theta vacua and solitons with fractional spin in the S2-valued nonlinear sigma model in two space dimensions. We use a formulation of the sigma model in terms of Euler angles and work within the context of canonical quantization. We show that when the model is coupled to an SU(2) topologically massive theory, the theta sectors disappear and the topological mass is not quantized.