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 TMF, 1982, Volume 51, Number 1, Pages 102–110 (Mi tmf2397)

Approximate renormalization group transformation in the theory of phase transitions II. Equation for fixed points and linear operator of the renormalization group

I. A. Vakarchuk, Yu. K. Rudavskii

Abstract: The approximate renormalization group differential equation obtained earlier in a nonperturbative approach is linearized in the neighborhood of a fixed point. The explicit form is found for the system of equations for the fixed points of the renormalization group and the linear operator of the renormalization group whose spectrum determines the critical exponent. These expressions are representated in the form of expansions with respect to irreducible mean values of the field variables ($P$-expansions) calculated with respect to the distribution with complete free energy functional. The “$\varphi^4$” model is investigated.

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English version:
Theoretical and Mathematical Physics, 1982, 51:1, 382–387

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Citation: I. A. Vakarchuk, Yu. K. Rudavskii, “Approximate renormalization group transformation in the theory of phase transitions II. Equation for fixed points and linear operator of the renormalization group”, TMF, 51:1 (1982), 102–110; Theoret. and Math. Phys., 51:1 (1982), 382–387

Citation in format AMSBIB
\Bibitem{VakRud82} \by I.~A.~Vakarchuk, Yu.~K.~Rudavskii \paper Approximate renormalization group transformation in the theory of phase transitions II.~Equation for fixed points and linear operator of the renormalization group \jour TMF \yr 1982 \vol 51 \issue 1 \pages 102--110 \mathnet{http://mi.mathnet.ru/tmf2397} \transl \jour Theoret. and Math. Phys. \yr 1982 \vol 51 \issue 1 \pages 382--387 \crossref{https://doi.org/10.1007/BF01029264} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1982PP79800009} 

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This publication is cited in the following articles:
1. I. V. Pylyuk, “Critical behavior of the three-dimensional Ising sistem: Dependence of themodynamic characteristics on microscopic parameters”, Theoret. and Math. Phys., 117:3 (1998), 1459–1482
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