Abstract
The functional integral formulation of the Hubbard model (1986) proposed by Kotliar and Ruckenstein (which, at the mean-field level, reproduces the results of the Gutzwiller approach) is used to calculate the one-loop correction to the free energy. The T3 in T correction to the specific heat in the Fermi liquid regime is obtained for the half-filled case and is related to the Landau amplitudes A0a, A0s that appear at the mean-field level. After parametrising the interaction strength with pressure so as to reproduce the observed effective mass of liquid 3He in the manner of Vollhardt (1984), the calculated variation of the T3 in T term with pressure is found to be in excellent agreement with the experimental results of Greywall (1983).
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