Noncritical M-theory and the Gross-Neveu model in 2+1 dimensions
| dc.creator | Petkou, Anastasios C. | |
| dc.creator | Siopsis, George | |
| dc.date | 2005-09-19 | |
| dc.date | 2006-08-01 | |
| dc.date.accessioned | 2026-07-07T10:30:18Z | |
| dc.date.available | 2026-07-07T10:30:18Z | |
| dc.description | We point out a non-trivial connection between the model proposed by Horava and Keeler as a candidate for noncritical M-theory and the Gross-Neveu model with fermionic fields obeying periodic boundary conditions in 2+1 dimensions. Specifically, the vacuum energy of the former is identified with the large-N free-energy of the latter up to an overall constant. This identification involves an appropriate analytic continuation of the subtraction point in noncritical M-theory, which is related to the volume of the Liouville dimension. We show how the world-sheet cosmological constant may be obtained from the Gross-Neveu model. At its critical point, which is given in terms of the golden mean, the values of the vacuum energy and of the cosmological constant are 4/5 and 2/5 of the corresponding values at infinite string coupling constant. | |
| dc.description | 10 pages, improved discussion to appear in Phys. Lett. B | |
| dc.identifier | https://arxiv.org/abs/hep-th/0509143 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0509143 | |
| dc.identifier | Phys.Lett.B640:209-213,2006 | |
| dc.identifier | doi:10.1016/j.physletb.2006.07.062 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/178091 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Noncritical M-theory and the Gross-Neveu model in 2+1 dimensions | |
| dc.type | text |