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Titlebook: Bosonization of Interacting Fermions in Arbitrary Dimensions; Peter Kopietz Book 1997 Springer-Verlag Berlin Heidelberg 1997 Fermion-Syste

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Book 1997inear 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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https://doi.org/10.1007/978-3-662-48784-6 level of the Gaussian approximation the problem of deriving the bosonic representation of the Hamiltonian is closely related to the problem of calculating the density-density correlation function within the RPA. We develop a general formalism for obtaining corrections to the Gaussian approximation,
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Elmar Bräkling,Jörg Lux,Klaus Oidtmannate the asymptotic long-distance behavior of Q.(r,0). For regular interactions (η = 0) in one dimension it is possible to calculate the full Debye-Waller factor Q.(.,τ) if a certain cutoff procedure is adopted. Then we reproduce the well-known bosonization result for the Tomonaga-Luttinger model.
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https://doi.org/10.1007/978-3-658-03495-5n cannot destabilize the Fermi liquid state. However, Luttinger liquid behavior in three dimensions can be due to quasi-one-dimensional anisotropy in the electronic band structure or in the phonon frequencies. A brief account of the results presented in this chapter has been published in [.].
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Aufbauorganisation der LogistikPerturbation theory for the single-particle Green’s function of an interacting Fermi system usually works as long as the quasi-particle picture is valid.
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