2006/02/28 by Ji-sheng Chen, Chen Ji-Sheng · 1 citation
Mathematics · Physics and Astronomy · #Dimensionless quantity #Fermi gas #Fermion #Fermionic field #Gas Dynamics and Kinetic Theory #Ground state #Ideal gas #Limit (mathematics) #Noncommutative and Quantum Gravity Theories #Quantum #Quantum and Classical Electrodynamics #Unitary state #astro-ph #cond-mat.stat-mech #cond-mat.str-el #hep-ph #nucl-th #physics.atom-ph #quant-ph
paper · pdf · doi:10.1088/0256-307x/24/7/011
published as Chinese Phys. Lett. 24 (2007) 1825-1828 · Identical to published version with revisions according to comments
openalex publication_date 2007/06/28 · arxiv created 2008/08/30 · openalex created_date 2016/06/24 · arxiv updated 2016/09/07 · openalex updated_date 2026/08/05
The dimensionless universal coefficient ξ defines the ratio of the unitary fermions energy density to that for the ideal non-interacting ones in the non-relativistic limit with T = 0. The classical Thomson problem is taken as a nonperturbative quantum many-body arm to address the ground state energy including the low energy nonlinear quantum fluctuation/correlation effects. With the relativistic Dirac continuum field theory formalism, the concise expression for the energy density functional of the strongly interacting limit fermions at both finite temperature and density is obtained. Analytically, the universal factor is calculated to be ξ = 4/9. The energy gap is Δ = (5/18) k f 2 /(2 m ).