The radial part of the zero-mode Hamiltonian for sigma models with group target space

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Abstract

In this note, we use geometric arguments to derive a possible form for the radial part of the "zero-mode Hamiltonian" for the two-dimensional sigma model with target space S3, or more generally a compact simply connected Lie group.

Original languageEnglish (US)
Pages (from-to)603-628
Number of pages26
JournalReviews in Mathematical Physics
Volume16
Issue number5
DOIs
StatePublished - Jun 1 2004

Keywords

  • Hamiltonian
  • Sigma model
  • Wiener measure
  • loop group

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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