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Five-loop renormalization group functions of ${O}(n)$-symmetric $\phi^4$-theory and $\ep$-expansions of critical exponents up to $\ep^5$

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arxiv hep-th/9503230 v1 pith:UMIT27VL submitted 1995-04-01 hep-th

H. Kleinert , J. Neu , V. Schulte-Frohlinde (Freie Universit"at Berlin) , K.G. Chetyrkin , S.A. Larin (Institute for Nuclear Research , Moscow) This is my paper
classification hep-th
keywords expansionscriticaldiagramsdimensionsexponentsfive-loopsymmetrictheory
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Motivated by the discovery of errors in six of the 135 diagrams in the published five-loop expansions of the $\beta$-function and the anomalous dimensions of the ${O}(n)$-symmetric $\phi^4$-theory in $D=4-\ep$ dimensions we present the results of a full analytic reevaluation of all diagrams. The divergences are removed by minimal subtraction and $\ep$-expansions are given for the critical exponents $\eta$, $\nu$, and $\omega$ up to order $\epsilon^5$.

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Cited by 3 Pith papers

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