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

By Mikhail V. Kompaniets, Erik Panzer. 2017

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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.

Subfields: Condensed Matter Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/bcaaee6524c803e14c7e67b581e49a134f45c24e