The Polynomial Formulation of the U(1) Non-Linear Sigma-Model in 2 Dimensions
| dc.creator | Fosco, C. D. | |
| dc.creator | Matsuyama, T. | |
| dc.date | 1996-02-23 | |
| dc.date.accessioned | 2026-07-07T04:21:54Z | |
| dc.date.available | 2026-07-07T04:21:54Z | |
| dc.description | We investigate some properties of a first-order polynomial formulation of the U(1) non-linear sigma-model in two Euclidean dimensions. The variables in this description are a 1-form field plus a 0-form Lagrange multiplier field. The usual spin variables are non-local functions of the new fields. As this construction incorporates O(2) invariance ab initio, only O(2)-invariant correlation functions (the only non-vanishing ones in the model) can be constructed. We show that the vortices play a dual role to the spin variables in the partition function. The equivalent Sine-Gordon description is obtained in a natural way, when one integrates out the 1-form field to get an effective partition function for the Lagrange multiplier. We also show how to introduce strings of vortices within this formulation. | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/9602131 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9602131 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/54508 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | The Polynomial Formulation of the U(1) Non-Linear Sigma-Model in 2 Dimensions | |
| dc.type | text |