Seven-Loop Critical Exponents from Strong-Coupling phi^4-Theory in Three Dimensions

TL;DR

This paper calculates highly precise critical exponents for three-dimensional phi^4 theory using seven-loop strong-coupling expansions, providing results that closely match experimental data for superfluid helium.

Contribution

It introduces seven-loop expansions in strong-coupling quantum field theory to determine critical exponents with unprecedented accuracy.

Findings

Critical exponents nu and eta calculated with high precision.

Theoretical alpha value agrees with experimental measurements.

Enhanced understanding of phase transition behavior in superfluid helium.

Abstract

Using strong-coupling quantum field theory we calculate highly accurate critical exponents nu, eta from new seven-loop expansions in three dimensions. Our theoretical value for the critical exponent alpha of the specific heat near the lambda-point of superfluid helium is alpha =-0.01294+-0.00060, in excellent agreement with the space shuttle experimental value alpha =-0.01285+-0.00038.