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

^*此作品的通讯作者

Institute for Nuclear Theory

科研成果: 期刊稿件 › 文章 › 同行评审

48 引用（Scopus）

摘要

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.

源语言	英语
文章编号	030601
期刊	Physical Review Letters
卷	107
期	3
DOI	https://doi.org/10.1103/PhysRevLett.107.030601
出版状态	已出版 - 15 7月 2011
已对外发布	是

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

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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.",

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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.

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New field-theoretic method for the virial expansion

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