Absence of vortex condensation in a two dimensional fermionic XY model
| dc.creator | Cecile, D. J. | |
| dc.creator | Chandrasekharan, Shailesh | |
| dc.date | 2008-01-11 | |
| dc.date.accessioned | 2026-07-07T11:55:11Z | |
| dc.date.available | 2026-07-07T11:55:11Z | |
| dc.description | Motivated by a puzzle in the study of two dimensional lattice Quantum Electrodynamics with staggered fermions, we construct a two dimensional fermionic model with a global U(1) symmetry. Our model can be mapped into a model of closed packed dimers and plaquettes. Although the model has the same symmetries as the XY model, we show numerically that the model lacks the well known Kosterlitz-Thouless phase transition. The model is always in the gapless phase showing the absence of a phase with vortex condensation. In other words the low energy physics is described by a non-compact U(1) field theory. We show that by introducing an even number of layers one can introduce vortex condensation within the model and thus also induce a KT transition. | |
| dc.description | 5 pages, 5 figures | |
| dc.identifier | https://arxiv.org/abs/0801.1857 | |
| dc.identifier | http://arxiv.org/abs/0801.1857 | |
| dc.identifier | Phys.Rev.D77:054502,2008 | |
| dc.identifier | doi:10.1103/PhysRevD.77.054502 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/205162 | |
| dc.subject | High Energy Physics - Lattice | |
| dc.title | Absence of vortex condensation in a two dimensional fermionic XY model | |
| dc.type | text |