A 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 10,000 energy levels for three unitary fermions in a harmonic trap.

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

References in corpus (3)

• Virial expansion for a strongly correlated Fermi gas
• Measurement of the Entropy and Critical Temperature of a Strongly Interacting Fermi Gas
• Universality in a 2-component Fermi System at Finite Temperature

Cited by in corpus (46)

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• High-temperature limit of the resonant Fermi gas
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• Absence of a four-body Efimov effect in the 2 + 2 fermionic problem
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• Enhancing the Efimov correlation in Bose polarons with large mass imbalance
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• The third virial coefficient of a two-component unitary Fermi gas across an Efimov-effect threshold
• Pairing and the spin susceptibility of the polarized unitary Fermi gas in the normal phase
• Short-distance properties of Coulomb systems
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• Virial expansion coefficients in the harmonic approximation
• The fourth- and fifth-order virial coefficients from weak-coupling to unitarity
• Virial coefficients of 1D and 2D Fermi gases by stochastic methods and a semiclassical lattice approximation
• High Temperature Virial Expansion to Universal Quench Dynamics
• The virial expansion of attractively interacting Fermi gases in 1D, 2D, and 3D, up to fifth order
• Theory of strongly paired fermions with arbitrary short-range interactions
• Finite range and upper branch effects on itinerant ferromagnetism in repulsive Fermi gases: Bethe-Goldstone ladder resummation approach
• Leading- and next-to-leading order semiclassical approximation to the first seven virial coefficients of spin-1/2 fermions across spatial dimensions
• Two-body quench dynamics of harmonically trapped interacting particles
• Fourth- and fifth-order virial expansion of harmonically trapped fermions at unitarity
• Lee-Yang cluster expansion approach to the BCS-BEC crossover: BCS and BEC limits
• Third- and fourth-order virial coefficients of harmonically trapped fermions in a semiclassical approximation
• Bulk viscosity and conformal symmetry breaking in the dilute Fermi gas near unitarity
• Universal relations and normal-state properties of a Fermi gas with laser-dressed mixed-partial-wave interactions
• Universality and itinerant ferromagnetism in rotating strongly interacting Fermi gases
• Virial coefficients for Bose and Fermi trapped gases beyond the unitary limit: an S-Matrix approach
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• Quench dynamics of mass-imbalanced three-body fermionic systems in a spherical trap
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• Quantum Bose and Fermi gases with large negative scattering length in the 2-body S-matrix approximation
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• Quasiclassical molecular dynamics for the dilute Fermi gas at unitarity
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• Energetics of three interacting mass-imbalanced bodies in a three-dimensional spherical harmonic trap
• Quench Dynamics of Thermal Bose Gases Across Wide and Narrow Feshbach
• Toward an automated-algebra framework for high orders in the virial expansion of quantum matter
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• Arbitrary interaction quench phenomena in harmonically trapped two-body systems
• The thermal index of neutron-star matter in the virial approximation