A new field theoretic method for the virial expansion

Details A new field theoretic method for the virial expansion A new field theoretic method for the virial expansion

2011-04-29

arxiv.org/abs/1105.0028v2

Phys.Rev.Lett.107:030601,2011

Physics

Condensed Matter

Statistical Mechanics

4 pages, 6 figures,Published version; added references, typos fixed, figures modified

Scientific paper

10.1103/PhysRevLett.107.030601

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.

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