RG and logarithmic CFT multicritical properties of randomly diluted Ising models

• Published in: The journal of high energy physics Vol. 2020; no. 12; pp. 1 - 27
• Main Authors: Zinati, R. Ben Alì, Zanusso, O.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2020; Springer Nature B.V; Springer; SpringerOpen
• Subjects: Classical and Quantum Gravitation; Conformal Field Theory; Dilution; Discrete Symmetries; Elementary Particles; General Physics; High energy physics; High Energy Physics - Theory; Ising model; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Random Systems; Regular Article - Theoretical Physics; Relativity Theory; Renormalization Group; String Theory; Discrete Symmetries; Random Systems; Renormalization Group; Conformal Field Theory; universality; field theory: conformal; spin; Ising model; quenching
• ISSN: 1029-8479; 1126-6708; 1029-8479
• DOI: 10.1007/JHEP12(2020)105

A bstract We discuss how a spin system, which is subject to quenched disorder, might exhibit multicritical behaviors at criticality if the distribution of the impurities is arbitrary. In order to provide realistic candidates for such multicritical behaviors, we discuss several generalizations of the standard randomly diluted Ising’s universality class adopting the ϵ -expansion close to several upper critical dimensions. In the presentation, we spend a special effort in bridging between CFT and RG results and discuss in detail the computation of quantities, which are of prominent interest in the case of logarithmic CFT.