On the Finite-Temperature Generalization of the C-theorem and the Interplay between Classical and Quantum Fluctuations

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dc.creatorDanchev, Daniel M.
dc.creatorTonchev, Nicholay S.
dc.date1998-06-16
dc.date1999-03-29
dc.date.accessioned2026-07-07T10:51:42Z
dc.date.available2026-07-07T10:51:42Z
dc.descriptionThe behavior of the finite-temperature C-function, defined by Neto and Fradkin [Nucl. Phys. B {\bf 400}, 525 (1993)], is analyzed within a d -dimensional exactly solvable lattice model, recently proposed by Vojta [Phys. Rev. B {\bf 53}, 710 (1996)], which is of the same universality class as the quantum nonlinear O(n) sigma model in the limit $n\to \infty$. The scaling functions of C for the cases d=1 (absence of long-range order), d=2 (existence of a quantum critical point), d=4 (existence of a line of finite temperature critical points that ends up with a quantum critical point) are derived and analyzed. The locations of regions where C is monotonically increasing (which depend significantly on d) are exactly determined. The results are interpreted within the finite-size scaling theory that has to be modified for d=4. PACS number(s): 05.20.-y, 05.50.+q, 75.10.Hk, 75.10.Jm, 63.70.+h, 05.30-d, 02.30
dc.description15 pages LATEX, ioplppt.sty file used, 6 EPS figures. Some changes made in section V (on finite-size scaling interpretation of the results obtained)
dc.identifierhttps://arxiv.org/abs/cond-mat/9806190
dc.identifierhttp://arxiv.org/abs/cond-mat/9806190
dc.identifierJ.Phys.A32:7057-7070,1999
dc.identifierdoi:10.1088/0305-4470/32/41/302
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184911
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.titleOn the Finite-Temperature Generalization of the C-theorem and the Interplay between Classical and Quantum Fluctuations
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