Kinetic equations for neutral Fermi liquids in DC magnetic fields. The nonlinear and particle-hole asymmetric effects

Since nonlinear effects are of the same importance as the particle-hole asymmetry (PHA) effects for normal Fermi liquids, a formalism is presented taking both into account. Because the nonlinearity of PHA is easiest to induce by strong magnetic fields, weak polarization effects are included. The kinetic equations for the weakly coupled density and magnetization modes are obtained. They lead to an additional effective mass equation in comparison to the Landau formula, joining the suitable angular average of the effective interaction of triples of quasiparticles with the gradient of the two-quasiparticle interaction with PHA effects included.