Off the critical point by perturbation: The Ising model spin-spin correlator

A kind of dimensional regularization is proposed in the conformal theory context in order to define the integrals of the perturbation in the τ ∼ (T − T c)/T c series for correlation functions off the critical point. The calculation is done for the second-order term of the spin-spin correlation funct...

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Published inNuclear physics. B Vol. 314; no. 3; pp. 687 - 706
Main Author Dotsenko, Vl.S.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 06.03.1989
Elsevier
Subjects
Exact sciences and technology
Lattice theory and statistics (ising, potts, etc.)
Physics
Statistical physics, thermodynamics, and nonlinear dynamical systems
Conformal theory
Critical phenomenon
Ising model
Dimensional regularization
Spin correlation function
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Abstract A kind of dimensional regularization is proposed in the conformal theory context in order to define the integrals of the perturbation in the τ ∼ (T − T c)/T c series for correlation functions off the critical point. The calculation is done for the second-order term of the spin-spin correlation function in the Ising Model and is checked with the known result.
AbstractList A kind of dimensional regularization is proposed in the conformal theory context in order to define the integrals of the perturbation in the τ ∼ (T − T c)/T c series for correlation functions off the critical point. The calculation is done for the second-order term of the spin-spin correlation function in the Ising Model and is checked with the known result.
Author Dotsenko, Vl.S.
Author_xml – sequence: 1
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  surname: Dotsenko
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  organization: Landau Institute for Theoretical Physics, Moscow, USSR
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Cites_doi 10.1007/BF02895558
10.1016/0550-3213(87)90155-6
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10.1016/0550-3213(84)90269-4
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Issue 3
Keywords Conformal theory
Critical phenomenon
Ising model
Dimensional regularization
Spin correlation function
Language English
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Snippet A kind of dimensional regularization is proposed in the conformal theory context in order to define the integrals of the perturbation in the τ ∼ (T − T c)/T c...
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SubjectTerms Exact sciences and technology
Lattice theory and statistics (ising, potts, etc.)
Physics
Statistical physics, thermodynamics, and nonlinear dynamical systems
Title Off the critical point by perturbation: The Ising model spin-spin correlator
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