Finite-size scaling investigations in the quantum varphi4-model with long-range interaction

Autor:	Hassan Chamati, N. S. Tonchev
Rok vydání:	2000
Předmět:	Physics Amplitude Quantum mechanics Range (statistics) General Physics and Astronomy Sigma Statistical and Nonlinear Physics Space (mathematics) Scaling Quantum Power law Condensed Matter - Statistical Mechanics Mathematical Physics
Zdroj:	Journal of Physics A: Mathematical and General. 33:873-890
ISSN:	1361-6447 0305-4470
DOI:	10.1088/0305-4470/33/5/305
Popis:	In this paper, we study in details the critical behavior of the ${\cal O}(n)$ quantum $\phi^4$ model with long-range interaction decaying with the distances r by a power law as $r^{-d-\sigma}$ 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 $d_=3\sigma/2$ critical dimensions, are calculated. Comment: 22 pages
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d9440c2ae695a3420e893180fa125e5c https://doi.org/10.1088/0305-4470/33/5/305 Zobrazit plný text záznamu