Critical exponents of O(N) models in fractional dimensions
Year: 2015
Authors: Codello A., Defenu N., D’Odorico G.
Autors Affiliation: Univ Southern Denmark, Origins CP3, DK-5230 Odense M, Denmark; Univ Southern Denmark, Danish IAS, DK-5230 Odense M, Denmark; SISSA, I-34136 Trieste, Italy; Radboud Univ Nijmegen, Inst Math Astrophys & Particle Phys, NL-6525 AJ Nijmegen, Netherlands.
Abstract: We compute critical exponents of O(N) models in fractional dimensions between d = 2 and 4, and for continuous values of the number of field components N, in this way completing the RG classification of universality classes for these models. These curves represent nonperturbative approximation to the exact results, they respect all the qualitative features expected from such quantities conciliating previously known perturbative results in three dimensions with exact results in two dimensions and giving a strong indication of what could be the exact behavior of such curves. We also report critical exponents for some multicritical universality classes in the cases N >= 2 and N = 0. Finally, in the large-N limit our critical exponents correctly approach those of the spherical model, allowing us to set N similar to 100 as the threshold for the quantitative validity of leading order large-N estimates.
Journal/Review: PHYSICAL REVIEW D
Volume: 91 (10) Pages from: 105003-1 to: 105003-7
More Information: The CP3-Origins Centre is partially funded by the Danish National Research Foundation, Grant No. DNRF90.KeyWords: Exact Renormalization-group; Derivative Expansion; Phase-transitions; Field-theory; Behavior; Absence; OrderDOI: 10.1103/PhysRevD.91.105003Citations: 51data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-10-20References taken from IsiWeb of Knowledge: (subscribers only)