O(N)-invariant Hierarchical Renormalization Group Fixed Points by Algebraic Numerical Computation and ε-Expansion

Simple item page
dc.creatorGoettker-Schnetmann, J.
dc.date1999-09-29
dc.date1999-10-05
dc.date.accessioned2026-07-07T03:14:40Z
dc.date.available2026-07-07T03:14:40Z
dc.descriptionGeneralizing methods developed by Pinn, Pordt and Wieczerkowski for the hierarchical model with one component (N=1) and dimensions d between 2 and 4 we compute O(N)-symmetric fixed points of the hierarchical renormalization group equation for some N and d with 0 < d < 4 and -2 <= N <= 20. The spectra of the linearized RG equation at the fixed points are calculated and the critical exponents νare extracted from the spectrum and compared to Borel-Pade-resummed ε-expansion.
dc.description30 pages, 9 figures; changed 2 figures for better printing, completed list of references, changed font to 11pt, submitted to Journal of Statistical Physics
dc.identifierhttps://arxiv.org/abs/cond-mat/9909418
dc.identifierhttp://arxiv.org/abs/cond-mat/9909418
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/29762
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.titleO(N)-invariant Hierarchical Renormalization Group Fixed Points by Algebraic Numerical Computation and ε-Expansion
dc.typetext

Files

Collections

arXiv