English

The O(N) Nonlinear Sigma Model in the Functional Schr\"{o}dinger Picture

High Energy Physics - Theory 2008-11-26 v1 Condensed Matter

Abstract

We present a functional Schr\"{o}dinger picture formalism of the (1+1)-dimensional O(N)O(N) nonlinear sigma model. The energy density has been calculated to two-loop order using the wave functional of a gaussian form, and from which the nonperturbative mass gap of the boson fields has been obtained. The functional Schr\"{o}dinger picture approach combined with the variational technique is shownto describe the characteristics of the ground state of the nonlinear sigma model in a transparent way.

Keywords

Cite

@article{arxiv.hep-th/9709092,
  title  = {The O(N) Nonlinear Sigma Model in the Functional Schr\"{o}dinger Picture},
  author = {Dae Kwan Kim and Chul Koo Kim},
  journal= {arXiv preprint arXiv:hep-th/9709092},
  year   = {2008}
}

Comments

13 pages, no figures, Latex file