TY - JOUR
T1 - New field-theoretic method for the virial expansion
AU - Kaplan, David B.
AU - Sun, Sichun
PY - 2011/7/15
Y1 - 2011/7/15
N2 - 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 10000 energy levels for three unitary fermions in a harmonic trap.
AB - 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 10000 energy levels for three unitary fermions in a harmonic trap.
UR - http://www.scopus.com/inward/record.url?scp=79961059635&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.107.030601
DO - 10.1103/PhysRevLett.107.030601
M3 - Article
AN - SCOPUS:79961059635
SN - 0031-9007
VL - 107
JO - Physical Review Letters
JF - Physical Review Letters
IS - 3
M1 - 030601
ER -