Computing the renormalization group flow of two-dimensional <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mi>ϕ</mml:mi><mml:mn>4</mml:mn></mml:msup></mml:math> theory with tensor networks

Abstract

This paper presents a method to write the partition function of ${\ensuremath{\phi}}^{4}$ theory as a tensor network and obtain its renormalization group flow as a map in a space of tensors. The authors also compute the critical coupling constant ${f}_{\mathrm{c}}=\ensuremath{\lambda}/{\ensuremath{\mu}}^{2}$ in the continuum to find ${f}_{\mathrm{c}}^{\mathrm{cont}.}=11.0861(90)$ and compare with other methods.

Topics & Concepts