Minimally subtracted six loop renormalization of $O(n)$-symmetric $\phi^4$ theory and critical exponents

Mikhail V. Kompaniets; Erik Panzer

doi:10.1103/physrevd.96.036016

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arXiv · 1705.06483

Minimally subtracted six loop renormalization of $O(n)$-symmetric $\phi^4$ theory and critical exponents

Mikhail V. Kompaniets·Erik Panzer

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Abstract

We present the perturbative renormalization group functions of $O(n)$-symmetric $\phi^4$ theory in $4-2\varepsilon$ dimensions to the sixth loop order in the minimal subtraction scheme. In addition, we estimate diagrams without subdivergences up to 11 loops and compare these results with the asymptotic behaviour of the beta function. Furthermore, we perform a resummation to obtain estimates for critical exponents in three and two dimensions.

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Mikhail V. Kompaniets, Erik Panzer. 2017-05-18. Minimally subtracted six loop renormalization of $O(n)$-symmetric $\phi^4$ theory and critical exponents. https://doi.org/10.1103/physrevd.96.036016

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