New field-theoretic method for the virial expansion

David B. Kaplan; Sichun Sun

doi:10.1103/PhysRevLett.107.030601

New field-theoretic method for the virial expansion

David B. Kaplan^*, Sichun Sun

^*Corresponding author for this work

Institute for Nuclear Theory

Research output: Contribution to journal › Article › peer-review

48 Citations (Scopus)

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 10000 energy levels for three unitary fermions in a harmonic trap.

Original language	English
Article number	030601
Journal	Physical Review Letters
Volume	107
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevLett.107.030601
Publication status	Published - 15 Jul 2011
Externally published	Yes

Access to Document

10.1103/PhysRevLett.107.030601

Cite this

Kaplan, D. B., & Sun, S. (2011). New field-theoretic method for the virial expansion. Physical Review Letters, 107(3), Article 030601. https://doi.org/10.1103/PhysRevLett.107.030601

@article{4c0c6f9690cb487cbfcef00b3f97d26b,

title = "New field-theoretic method for the virial expansion",

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 10000 energy levels for three unitary fermions in a harmonic trap.",

author = "Kaplan, {David B.} and Sichun Sun",

year = "2011",

month = jul,

day = "15",

doi = "10.1103/PhysRevLett.107.030601",

language = "English",

volume = "107",

journal = "Physical Review Letters",

issn = "0031-9007",

publisher = "American Physical Society",

number = "3",

}

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 -

New field-theoretic method for the virial expansion

Abstract

Access to Document

Other files and links

Fingerprint

Cite this