Five-loop renormalization of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>ϕ</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math> theory with applications to the Lee-Yang edge singularity and percolation theory

Abstract

The authors study higher loop $\ensuremath{\beta}$- and other renormalization group functions in scalar ${\ensuremath{\phi}}^{3}$ theories. Despite the apparent toy-model character of these theories, they are related to a number of important physical effects (condensed matter physics, QCD, percolation problems, higher spin AdS/CFT duality), and more importantly, the authors demonstrate the superiority of the so-called graphical functions method, setting a new record with the five-loop calculation of the mentioned critical exponents.

Topics & Concepts