The author presents in detail a new non-perturbative approach to
the fermionic many-body problem, improving the bosonization
technique and generalizing it to dimensions "d">1 via functional
integration and Hubbard--Stratonovich transformations. In Part I he
clearly illustrates the approximations and limitations inherent in
higher-dimensional bosonization and derives the precise relation
with diagrammatic perturbation theory. He shows how the non-linear
terms in the energy dispersion can be systematically included into
bosonization in arbitrary "d," so that in "d">1 the curvature of
the Fermi surface can be taken into account. Part II gives
applications to problems of physical interest. The book addresses
researchers and graduate students in theoretical condensed matter
physics.
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