Casimir amplitudes in a quantum spherical model with long-range interaction
| dc.creator | Chamati, H. | |
| dc.creator | Danchev, D. M. | |
| dc.creator | Tonchev, N. S. | |
| dc.date | 1998-09-23 | |
| dc.date | 2000-01-24 | |
| dc.date.accessioned | 2026-07-07T03:11:33Z | |
| dc.date.available | 2026-07-07T03:11:33Z | |
| dc.description | A $d$-dimensional quantum model system confined to a general hypercubical geometry with linear spatial size $L$ and ``temporal size'' $1/T $ ($T$ - temperature of the system) is considered in the spherical approximation under periodic boundary conditions. For a film geometry in different space dimensions $\frac 12σ<d<\frac 32σ$, where $0<σ\leq 2$ is a parameter controlling the decay of the long-range interaction, the free energy and the Casimir amplitudes are given. We have proven that, if $d=σ$, the Casimir amplitude of the model, characterizing the leading temperature corrections to its ground state, is $Δ=-16ζ(3)/[5σ(4π)^{σ/2}Γ(σ/2)]$. The last implies that the universal constant $\tilde{c}=4/5$ of the model remains the same for both short, as well as long-range interactions, if one takes the normalization factor for the Gaussian model to be such that $\tilde{c}=1$. This is a generalization to the case of long-range interaction of the well known result due to Sachdev. That constant differs from the corresponding one characterizing the leading finite-size corrections at zero temperature which for $d=σ=1$ is $\tilde c=0.606$. | |
| dc.description | 10 pages latex, no figures, to appear in EPJB (2000) | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9809315 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9809315 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/28617 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Casimir amplitudes in a quantum spherical model with long-range interaction | |
| dc.type | text |