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Physical review. B, Condensed matter

Unexpected phenomena in covariant Landau theory

René Leermakers

Published Jan 1, 1994• 0 citations
Publisher

Abstract

This paper discusses some intriguing questions regarding the covariant Landau theory of Fermi liquids. One question is why this theory, with its off-shell distribution function, is an exact reformulation of classical Landau theory. Other questions address some remarkable properties of covariant Landau theory and its extensions.
DOI
10.1103/physrevb.49.475

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The macroscopic theory of Fermi liquids we have developed in the preceding chapters possesses the advantage of being exact for any normal liquid, irrespective of its density or law of interaction, so long as the temperature is sufficiently low and the phenomena under discussion involve both long wavelengths and low frequencies. It is, of course, incomplete, since it can provide no account of microscopic phenomena involving short wavelengths and large excitation energies, or of equilibrium properties such as the ground state energy and pair distribution function. In contrast, microscopic theories are able to describe both macroscopic and microscopic phenomena. They are, however, subject to one of the following limitations: They are exact for only a limited range of particle density or interaction, one which rarely corresponds to physical reality. The extent to which they provide an approximate account of a real physical system can rarely be estimated with any precision.