Pairing Fluctuation Corrections to the Kinetic Theory of Liquid $$^3\mathrm {He}$$

Liquid $$^3\mathrm {He}$$ is a Fermi liquid that undergoes BCS-type phase transition to spin-triplet superfluid, making it valuable for understanding interacting fermions. When the temperature approaches $$T_{\mathrm {c}}$$ from above, physical properties can be modified by Cooper pair fluctuations, leading deviations predictions of theory. We use nonequilibrium Green’s function theory study role fluctuations on quasiparticle transport. The Boltzmann–Landau kinetic equation, which describes transport liquids, acquires corrections interaction quasiparticles with fluctuations. As an application, we effects propagation zero sound in . calculate temperature-dependent correction velocity due and compare result existing experimental data.