Critical Exponents from Field Theory: New Evaluation

TL;DR

This paper introduces a new algorithm for summing divergent series to evaluate critical exponents in O(n)-symmetric  theory, achieving more precise results than previous methods.

Contribution

It provides a novel summation algorithm that refines the evaluation of critical exponents, reducing uncertainty compared to earlier studies.

Findings

Critical exponents closely match previous results

Uncertainty in critical exponents is significantly reduced

New algorithm improves the precision of field theoretical calculations

Abstract

We present new evaluation of the critical exponents of O(n)- symmetric \phi^4 theory from the field theoretical renormalization group, based on the new algorithm for summing divergent series. The central values practically coincide with those by Le Guillou and Zinn-Justin (1980) but their uncertainty is essentially smaller.