RG and logarithmic CFT multicritical properties of randomly diluted Ising models

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...

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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
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ISSN	1029-8479 1126-6708 1029-8479
DOI	10.1007/JHEP12(2020)105

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Abstract	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.
AbstractList	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. 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. 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. Abstract 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.
ArticleNumber	105
Author	Zanusso, O. Zinati, R. Ben Alì
Author_xml	– sequence: 1 givenname: R. Ben Alì orcidid: 0000-0002-3881-5868 surname: Zinati fullname: Zinati, R. Ben Alì email: riccardo.ben_ali_zinati@sorbonne-universite.fr organization: Sorbonne Université & CNRS, Laboratoire de Physique Théorique de la Matière Condensée – sequence: 2 givenname: O. orcidid: 0000-0002-6871-1883 surname: Zanusso fullname: Zanusso, O. organization: Università di Pisa and INFN — Sezione di Pisa
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Snippet	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... We discuss how a spin system, which is subject to quenched disorder, might exhibit multicritical behaviors at criticality if the distribution of the impurities... Abstract We discuss how a spin system, which is subject to quenched disorder, might exhibit multicritical behaviors at criticality if the distribution of the...
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SubjectTerms	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
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Title	RG and logarithmic CFT multicritical properties of randomly diluted Ising models
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