Mass gap in the 2D O(3) non-linear sigma model with a theta=pi term
| dc.creator | Alles, B. | |
| dc.creator | Papa, A. | |
| dc.date | 2007-11-09 | |
| dc.date | 2008-02-25 | |
| dc.date.accessioned | 2026-07-07T11:38:39Z | |
| dc.date.available | 2026-07-07T11:38:39Z | |
| dc.description | By analytic continuation to real theta of data obtained from numerical simulation at imaginary theta we study the Haldane conjecture and show that the O(3) non-linear sigma model with a theta term in 2 dimensions becomes massless at theta=3.10(5). A modified cluster algorithm has been introduced to simulate the model with imaginary theta. Two different definitions of the topological charge on the lattice have been used; one of them needs renormalization to match the continuum operator. Our work also offers a successful test for numerical methods based on analytic continuation. | |
| dc.description | Latex file, 4 pages. To appear in PRD; it contains the justification of analicity, more details about the fits, more references, etc | |
| dc.identifier | https://arxiv.org/abs/0711.1496 | |
| dc.identifier | http://arxiv.org/abs/0711.1496 | |
| dc.identifier | Phys.Rev.D77:056008,2008 | |
| dc.identifier | doi:10.1103/PhysRevD.77.056008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/199641 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Other Condensed Matter | |
| dc.subject | High Energy Physics - Lattice | |
| dc.title | Mass gap in the 2D O(3) non-linear sigma model with a theta=pi term | |
| dc.type | text |