A new field theoretic method for the virial expansion
Statistical Mechanics
2011-08-22 v2 High Energy Physics - Lattice
High Energy Physics - Phenomenology
Nuclear Theory
Abstract
We develop a graphical method for computing the virial expansion coefficients for a nonrelativistic quantum field theory. As an example we compute the third virial coefficient b3 for unitary fermions, a nonperturbative system. By calculating several graphs and performing an extrapolation, we arrive at b3 =-0.2930, within 0.7% of a recent computation b3 = -0.29095295 by Liu, Hu and Drummond, which involved summing 10,000 energy levels for three unitary fermions in a harmonic trap.
Keywords
Cite
@article{arxiv.1105.0028,
title = {A new field theoretic method for the virial expansion},
author = {David B. Kaplan and Sichun Sun},
journal= {arXiv preprint arXiv:1105.0028},
year = {2011}
}
Comments
4 pages, 6 figures,Published version; added references, typos fixed, figures modified