Leading temperature corrections to Fermi-liquid theory in two dimensions

We calculate the basic parameters of the Fermi liquid: the scattering vertex, the Landau interaction function, the effective mass, and physical susceptibilities for a model of two-dimensional (2D) fermions with a short-ranged interaction at nonzero temperature. The leading temperature dependences of the spin components of the scattering vertex, the Landau function, and the spin susceptibility are found to:be linear. T-linear terms in the effective mass and in the "charge-sector' quantities are found to cancel to second order in the interaction, but the cancelation is argued not to be generic. The connection with previous studies of the 2D Fermi-liquid parameters is discussed.