Strong-Coupling $\phi^4$-Theory in $4- \epsilon$ Dimensions and Critical Exponents

TL;DR

This paper uses variational perturbation theory to analyze $^4$-theories in $4- oldsymbol{ ext{epsilon}}$ dimensions, determining critical exponents at strong coupling without relying on renormalization group methods.

Contribution

It introduces a novel approach to compute critical exponents directly at strong coupling in $^4$-theories without renormalization group techniques.

Findings

Determines renormalization constants' power behavior at strong coupling.

Calculates critical exponents without traditional renormalization group methods.

Provides a new method for analyzing $^4$-theories in non-perturbative regimes.

Abstract

With the help of variational perturbation theory we continue the renormalization constants $\phi^4$-theories in $4- \epsilon$ dimensions to strong bare couplings $g_0$ and find their power behavior in $g_0$, thereby determining all critical exponents without renormalization group techniques.