Non-analyticity of the Callan-Symanzik beta-function of two-dimensional O(N) model

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dc.creatorCalabrese, P.
dc.creatorCaselle, M.
dc.creatorCeli, A.
dc.creatorPelissetto, A.
dc.creatorVicari, E.
dc.date2000-05-26
dc.date2000-10-17
dc.date.accessioned2026-07-07T10:53:23Z
dc.date.available2026-07-07T10:53:23Z
dc.descriptionWe discuss the analytic properties of the Callan-Symanzik beta-function beta(g) associated with the zero-momentum four-point coupling g in the two-dimensional phi^4 model with O(N) symmetry. Using renormalization-group arguments, we derive the asymptotic behavior of beta(g) at the fixed point g^*. We argue that beta'(g) = beta'(g^*) + O(|g-g^*|^{1/7}) for N=1 and beta'(g) = beta'(g^*) + O(1/\log |g-g^*|) for N > 2. Our claim is supported by an explicit calculation in the Ising lattice model and by a 1/N calculation for the two-dimensional phi^4 theory. We discuss how these nonanalytic corrections may give rise to a slow convergence of the perturbative expansion in powers of g.
dc.description18 pages. Discussion on Logarithmic CFT added in Appendix A. References updated. A note on the interpretation of the p_5 constant added. Final version, accepted for publication in Journal of Physics A
dc.identifierhttps://arxiv.org/abs/hep-th/0005254
dc.identifierhttp://arxiv.org/abs/hep-th/0005254
dc.identifierJ.Phys.A33:8155-8170,2000
dc.identifierdoi:10.1088/0305-4470/33/46/301
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185463
dc.subjectHigh Energy Physics - Theory
dc.subjectStatistical Mechanics
dc.titleNon-analyticity of the Callan-Symanzik beta-function of two-dimensional O(N) model
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