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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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期刊全称Bosonization of Interacting Fermions in Arbitrary Dimensions
影响因子2023Peter Kopietz
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学科分类Lecture Notes in Physics Monographs
图书封面Titlebook: Bosonization of Interacting Fermions in Arbitrary Dimensions;  Peter Kopietz Book 1997 Springer-Verlag Berlin Heidelberg 1997 Fermion-Syste
影响因子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.
Pindex Book 1997
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https://doi.org/10.1007/978-3-662-48784-6ating the density-density correlation function within the RPA. We develop a general formalism for obtaining corrections to the Gaussian approximation, and show that these are nothing but the local-field corrections to the RPA. Some of the results presented in this chapter has been published in [1.36].
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https://doi.org/10.1007/978-3-8350-5458-5lem in the work [.]. It turns out, however, that in physically relevant cases quantitatively correct results for the single-particle Green’s function can only be obtained if one retains the quadratic terms in the expansion of the energy dispersion close to the Fermi surface.
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Fermions in a stochastic mediums equivalent with conventional perturbation theory based on the lowest order Born approximation. We also critically discuss the linearization of the energy dispersion, and give a simple example where this approximation leads to an unphysical result. Some of the calculations described in this chapter have been published in [.].
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