article published yes Asbjørn Bækgaard Lauritsen author e1a2682f-dc8d-11ea-abe3-81da9ac728f10000-0003-4476-2288 Robert Seiringer author 4AFD0470-F248-11E8-B48F-1D18A9856A870000-0002-6781-0521 GradSch department RoSe department Mathematical Challenges in BCS Theory of Superconductivity project We consider a dilute fully spin-polarized Fermi gas at positive temperature in dimensions d∈{1,2,3} . We show that the pressure of the interacting gas is bounded from below by that of the free gas plus, to leading order, an explicit term of order adρ2+2/d, where a is the p-wave scattering length of the repulsive interaction and ρ is the particle density. The results are valid for a wide range of repulsive interactions, including that of a hard core, and uniform in temperatures at most of the order of the Fermi temperature. A central ingredient in the proof is a rigorous implementation of the fermionic cluster expansion of Gaudin, Gillespie and Ripka (Nucl. Phys. A, 176.2 (1971), pp. 237–260). https://research-explorer.ista.ac.at/download/18107/18126/2024_ForumMath_Lauritsen.pdf application/pdfno Cambridge University Press2024 eng 2050-5094 2407.05990 00130781740000110.1017/fms.2024.56 12 https://research-explorer.ista.ac.at/record/18135 Lauritsen, A. B., &#38; Seiringer, R. (2024). Pressure of a dilute spin-polarized Fermi gas: Lower bound. <i>Forum of Mathematics, Sigma</i>. Cambridge University Press. <a href="https://doi.org/10.1017/fms.2024.56">https://doi.org/10.1017/fms.2024.56</a> A.B. Lauritsen, R. Seiringer, Forum of Mathematics, Sigma 12 (2024). Lauritsen AB, Seiringer R. Pressure of a dilute spin-polarized Fermi gas: Lower bound. <i>Forum of Mathematics, Sigma</i>. 2024;12. doi:<a href="https://doi.org/10.1017/fms.2024.56">10.1017/fms.2024.56</a> Lauritsen AB, Seiringer R. 2024. Pressure of a dilute spin-polarized Fermi gas: Lower bound. Forum of Mathematics, Sigma. 12, e78. A. B. Lauritsen and R. Seiringer, “Pressure of a dilute spin-polarized Fermi gas: Lower bound,” <i>Forum of Mathematics, Sigma</i>, vol. 12. Cambridge University Press, 2024. Lauritsen, Asbjørn Bækgaard, and Robert Seiringer. “Pressure of a Dilute Spin-Polarized Fermi Gas: Lower Bound.” <i>Forum of Mathematics, Sigma</i>, vol. 12, e78, Cambridge University Press, 2024, doi:<a href="https://doi.org/10.1017/fms.2024.56">10.1017/fms.2024.56</a>. Lauritsen, Asbjørn Bækgaard, and Robert Seiringer. “Pressure of a Dilute Spin-Polarized Fermi Gas: Lower Bound.” <i>Forum of Mathematics, Sigma</i>. Cambridge University Press, 2024. <a href="https://doi.org/10.1017/fms.2024.56">https://doi.org/10.1017/fms.2024.56</a>. 181072024-09-20T12:25:25Z2026-04-07T13:01:40Z