Pith. sign in

REVIEW 3 cited by

Epsilon expansion for a Fermi gas at infinite scattering length

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv cond-mat/0604500 v2 pith:PB327GIS submitted 2006-04-21 cond-mat.other hep-phnucl-th

Yusuke Nishida , Dam Thanh Son This is my paper · ORCID
classification cond-mat.otherhep-phnucl-th
keywords epsilonexpansionfermichemicalfermionpotentialratioaround
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We show that there exists a systematic expansion around four spatial dimensions for Fermi gas in the unitarity regime. We perform the calculations to leading and next-to-leading orders in the expansion over epsilon=4-d, where d is the dimensionality of space. We find the ratio of chemical potential and Fermi energy to be mu/eF=1/2 epsilon^3/2 + 1/16 epsilon^5/2 ln epsilon -0.0246 epsilon^5/2 and the ratio of the gap in the fermion quasiparticle spectrum and the chemical potential to be Delta/mu=2/epsilon-0.691. The minimum of the fermion dispersion curve is located at |p|=(2m epsilon_0)^1/2 where epsilon_0/mu=2+O(epsilon). Extrapolation to d=3 gives results consistent with Monte Carlo simulations.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Revisiting Schr\"odinger CFTs: Factorization, Massless Particles, and a Path to the Bootstrap

    hep-th 2025-10 conditional novelty 7.0 of 10

    Schrödinger CFTs are reformulated via a harmonic-trap thermofield double, giving a state-operator correspondence for all operators and a factorization proof of non-renormalization.

  2. Trapping-potential dependence of the unitary Fermi gas at the BCS-BEC crossover

    cond-mat.quant-gas 2025-10 conditional novelty 6.0 of 10

    Trap-induced corrections to the unitary Fermi gas phonon spectrum and dynamic structure factor are computed in three EFT/WKB regimes, with low-energy corrections depending on trap shape and high-energy corrections set...

  3. Conformal Mapping of Non-Lorentzian Geometries in SU(1,2) Conformal Field Theory

    hep-th 2024-11 reject novelty 6.0 of 10

    An explicit conformal mapping is derived between null-reduced R times S^3 and Omega-deformed Minkowski TNC geometries, giving the state-operator generator map H0 = (R^2 H + C/R^2 - J - N)/2 in SU(1,2) non-Lorentzian CFTs.

Pith tools