New universality class in three dimensions: The critical Blume-Capel model

A. Codello, M. Safari, G. P. Vacca, O. Zanusso

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Resumé

We study the Blume-Capel universality class in d=103-ϵ dimensions. The renormalization group flow is extracted by looking at poles in fractional dimension of three loop diagrams using MS. The theory is the only nontrivial universality class which admits an expansion to three dimensions with ϵ=13<1. We compute the relevant scaling exponents and estimate some of the operator product expansion coefficients to the leading order. Our findings agree with and complement conformal field theory results. Finally we discuss a family of nonunitary multicritical models which includes the Lee-Yang and Blume-Capel classes as special cases.

OriginalsprogEngelsk
Artikelnummer081701
TidsskriftPhysical Review D. Particles and fields
Vol/bind96
Udgave nummer8
Antal sider6
ISSN0556-2821
DOI
StatusUdgivet - 2017

Fingeraftryk

expansion
complement
poles
diagrams
exponents
scaling
operators
coefficients
estimates
products

Citer dette

Codello, A. ; Safari, M. ; Vacca, G. P. ; Zanusso, O. / New universality class in three dimensions : The critical Blume-Capel model. I: Physical Review D. Particles and fields. 2017 ; Bind 96, Nr. 8.
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abstract = "We study the Blume-Capel universality class in d=103-ϵ dimensions. The renormalization group flow is extracted by looking at poles in fractional dimension of three loop diagrams using MS. The theory is the only nontrivial universality class which admits an expansion to three dimensions with ϵ=13<1. We compute the relevant scaling exponents and estimate some of the operator product expansion coefficients to the leading order. Our findings agree with and complement conformal field theory results. Finally we discuss a family of nonunitary multicritical models which includes the Lee-Yang and Blume-Capel classes as special cases.",
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New universality class in three dimensions : The critical Blume-Capel model. / Codello, A.; Safari, M.; Vacca, G. P.; Zanusso, O.

I: Physical Review D. Particles and fields, Bind 96, Nr. 8, 081701, 2017.

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

TY - JOUR

T1 - New universality class in three dimensions

T2 - The critical Blume-Capel model

AU - Codello, A.

AU - Safari, M.

AU - Vacca, G. P.

AU - Zanusso, O.

PY - 2017

Y1 - 2017

N2 - We study the Blume-Capel universality class in d=103-ϵ dimensions. The renormalization group flow is extracted by looking at poles in fractional dimension of three loop diagrams using MS. The theory is the only nontrivial universality class which admits an expansion to three dimensions with ϵ=13<1. We compute the relevant scaling exponents and estimate some of the operator product expansion coefficients to the leading order. Our findings agree with and complement conformal field theory results. Finally we discuss a family of nonunitary multicritical models which includes the Lee-Yang and Blume-Capel classes as special cases.

AB - We study the Blume-Capel universality class in d=103-ϵ dimensions. The renormalization group flow is extracted by looking at poles in fractional dimension of three loop diagrams using MS. The theory is the only nontrivial universality class which admits an expansion to three dimensions with ϵ=13<1. We compute the relevant scaling exponents and estimate some of the operator product expansion coefficients to the leading order. Our findings agree with and complement conformal field theory results. Finally we discuss a family of nonunitary multicritical models which includes the Lee-Yang and Blume-Capel classes as special cases.

U2 - 10.1103/PhysRevD.96.081701

DO - 10.1103/PhysRevD.96.081701

M3 - Journal article

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VL - 96

JO - Physical Review D. Particles and fields

JF - Physical Review D. Particles and fields

SN - 0556-2821

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