Universal sextic effective interaction at criticality

The renormalization group approach in three dimensions is used to estimate the universal critical value of the dimensionless sextic effective coupling constant for the Ising model. The four-loop expansion for g 6 is calculated and resummed resulting in g 6 ∗ = 1.596 , while the most accurate estimat...

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Bibliographic Details
Published inPhysics letters. A Vol. 227; no. 3; pp. 255 - 258
Main Authors Sokolov, A.I, Orlov, E.V, Ul'kov, V.A
Format Journal Article
LanguageEnglish
Published Elsevier B.V 17.03.1997
Subjects
Euclidean field theory
Four-loop approximation
Higher-order couplings
Ising model
Renormalization group
11.10.Gh
05.50.+q
Euclidean field theory
Four-loop approximation
05.70.−a
Ising model
Higher-order couplings
64.60.Ak
Renormalization group
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Summary:The renormalization group approach in three dimensions is used to estimate the universal critical value of the dimensionless sextic effective coupling constant for the Ising model. The four-loop expansion for g 6 is calculated and resummed resulting in g 6 ∗ = 1.596 , while the most accurate estimate for g 6 ∗ is argued to be equal to 1.61.
ISSN:0375-9601
1873-2429
DOI:10.1016/S0375-9601(97)00049-2