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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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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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https://doi.org/10.1007/978-3-540-68495-4Fermion-Systeme und Elektronengas; Funktionalintegration; Hamiltonian; Normale Quantenflüssigkeiten; The
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Bosonization of the Hamiltonian and the density-density correlation function 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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The single-particle Green’s functionWe carefully examine the approximations and limitations inherent in higher-dimensional bosonization, and develop a new systematic method for including the non-linear terms in the expansion of the energy dispersion close to the Fermi surface into the bosonization procedure. Short accounts of the resu
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Electron-phonon interactionsn 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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