Bose-Einstein Condensation Temperature of Homogenous Weakly Interacting Bose Gas in Variational Perturbation Theory Through Six Loops

TL;DR

This paper calculates the shift in the Bose-Einstein condensation temperature for a weakly interacting homogeneous Bose gas using six-loop variational perturbation theory, aligning well with Monte Carlo results.

Contribution

It introduces a six-loop variational perturbation theory approach to accurately compute the transition temperature shift in a weakly interacting Bose gas.

Findings

Delta T_c/T_c = 1.25+/-0.13 a n^(1/3)

Results agree with recent Monte-Carlo simulations

Provides a high-order theoretical calculation for Bose gas transition temperature

Abstract

We compute the shift of the transition temperature for a homogenous weakly interacting Bose gas in leading order in the scattering length a for given particle density n. Using variational perturbation theory through six loops in a classical three-dimensional scalar field theory, we obtain Delta T_c/T_c = 1.25+/-0.13 a n^(1/3), in agreement with recent Monte-Carlo results.