Pressure of a dilute spin-polarized Fermi gas: Lower bound Lauritsen, Asbjørn Bækgaard ; https://orcid.org/0000-0003-4476-2288 Seiringer, Robert ; https://orcid.org/0000-0002-6781-0521 ddc:510 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). Cambridge University Press 2024 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/18107 https://research-explorer.ista.ac.at/download/18107/18126 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> eng info:eu-repo/semantics/altIdentifier/doi/10.1017/fms.2024.56 info:eu-repo/semantics/altIdentifier/issn/2050-5094 info:eu-repo/semantics/altIdentifier/wos/001307817400001 info:eu-repo/semantics/altIdentifier/arxiv/2407.05990 info:eu-repo/semantics/openAccess