Critical Exponents from Five-Loop Strong-Coupling phi^4-Theory in 4- epsilon Dimensions

TL;DR

This paper computes critical exponents for O(N)-symmetric phi^4-theories in 4-ε dimensions using five-loop strong-coupling calculations, achieving accuracy comparable to advanced resummation techniques.

Contribution

It introduces a five-loop strong-coupling approach to determine critical exponents in 4-ε dimensions, providing a new computational method.

Findings

Critical exponents calculated up to five loops.

Results match accuracy of Borel resummation methods.

Enhanced understanding of phi^4-theories in critical phenomena.

Abstract

With the help of strong-coupling theory, we calculate the critical exponents of O(N)-symmetric phi^4-theories in 4- epsilon dimensions up to five loops with an accuracy comparable to that achieved by Borel-type resummation methods.