On the Critical Exponents for the \Lambda-Transition in Liquid Helium

TL;DR

This paper introduces a novel summation method for divergent series that improves the accuracy of critical exponent determination in liquid helium's bb-transition, aligning well with experimental data but challenging previous theoretical results.

Contribution

It presents a new summation technique for divergent series that enhances the precision of critical exponent calculations in field theory.

Findings

Critical exponent bc=0.6700b1 0.0006 matches experimental results.

New method improves accuracy over previous high-temperature series and Monte Carlo approaches.

Results challenge existing theoretical predictions based on earlier computational methods.

Abstract

The use of a new method for summing divergent series makes it possible to significantly increase the accuracy of determining the critical exponents from the field theoretical renormalization group. The exponent value \nu=0.6700\pm 0.0006 for the \lambda-transition in liquid helium is in good agreement with the experiment, but contradicts the last theoretical results based on using high-temperature series, the Monte Carlo method, and their synthesis.