Finite size scaling investigations in the quantum $ϕ^4$-model with long-range interaction
| dc.creator | Chamati, Hassan | |
| dc.creator | Tonchev, Nicholay S. | |
| dc.date | 1999-11-01 | |
| dc.date | 1999-12-13 | |
| dc.date.accessioned | 2026-07-07T10:51:44Z | |
| dc.date.available | 2026-07-07T10:51:44Z | |
| dc.description | In this paper, we study in details the critical behavior of the ${\cal O}(n)$ quantum $ϕ^4$ model with long-range interaction decaying with the distances r by a power law as $r^{-d-σ}$ in the large n-limit. The zero-temperature critical behavior is discussed. Its alteration by the finite temperature and/or finite sizes in the space is studied. The scaling behaviours are studied in different regimes depending upon whether the finite temperature or the finite sizes of the system is leading. A number of results for the correlation length, critical amplitudes and the finite size shift, for different dimensionalities between the lower $d_<=σ/2$ and the upper $d_>=3σ/2$ critical dimensions, are calculated. | |
| dc.description | 22 pages | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9910508 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9910508 | |
| dc.identifier | J.Phys.A33:873-890,2000 | |
| dc.identifier | doi:10.1088/0305-4470/33/5/305 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/184922 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Finite size scaling investigations in the quantum $ϕ^4$-model with long-range interaction | |
| dc.type | text |