Nuclear Physics

Bosonization of Interacting Fermions in Arbitrary Dimensions by Peter Kopietz

By Peter Kopietz

The writer provides intimately a brand new non-perturbative method of the fermionic many-body challenge, enhancing the bosonization strategy and generalizing it to dimensions d1 through practical integration and Hubbard--Stratonovich differences. partially I he in actual fact illustrates the approximations and barriers inherent in higher-dimensional bosonization and derives the correct relation with diagrammatic perturbation thought. He exhibits how the non-linear phrases within the strength dispersion should be systematically integrated into bosonization in arbitrary d, in order that in d1 the curvature of the Fermi floor might be taken under consideration. half II supplies purposes to difficulties of actual curiosity. The ebook addresses researchers and graduate scholars in theoretical condensed topic physics.

Show description

Read Online or Download Bosonization of Interacting Fermions in Arbitrary Dimensions PDF

Similar nuclear physics books

Fundamentals of the Physics of Solids - Electronic Properties

The reader is keeping the second one quantity of a three-volume textbook on solidstate physics. This ebook is the outgrowth of the classes i've got taught for a few years at Eötvös college, Budapest, for undergraduate and graduate scholars below the titles Solid-State Physics and sleek Solid-State Physics.

The Theory of Neutron Scattering from Condensed Matter: Volume II (International Series of Monographs on Physics)

A useful, up to date reference relief for investigators and researchers, this two-volume paintings develops the foundations and ideas of statistical physics and quantum chemistry which are the root for the translation of experimental facts. those volumes construct at the author's now usual textual content, idea of Neutron Scattering (OUP, 1971), and comprise elevated insurance of nuclear scattering, with many sections thoroughly rewritten and up to date, and plenty of formerly unpublished experimental calculations.

Introduction to Plasma Technology: Science, Engineering and Applications

Written through a college lecturer with greater than 40 years event in plasma know-how, this booklet adopts a didactic process in its insurance of the speculation, engineering and purposes of technological plasmas. the idea is built in a unified technique to permit brevity and readability, supplying readers with the mandatory heritage to evaluate the standards that impact the habit of plasmas below various working stipulations.

X-Ray Multiple-Wave Diffraction: Theory and Application

This entire textual content describes the basics of X-ray multiple-wave interplay in crystals and its purposes in condensed subject physics and crystallography. It covers present theoretical ways and alertness equipment for lots of fabrics, together with macromolecular crystals, skinny movies, semiconductors, quasicrystals and nonlinear optical fabrics.

Additional resources for Bosonization of Interacting Fermions in Arbitrary Dimensions

Sample text

Note that in this case |k −kα | assumes the smallest possible value. to choose the sectors as large as possible in order to avoid corrections due to the around-the-corner processes. 59)) should be well-defined. If these conditions are satisfied, we may use our formalism to calculate the single-particle Green’s function G(k α + q, i˜ ωn ) for all wave-vectors q that are small compared with the sector cutoffs. e. fqαα = fq , such as the long-range tail of the Coulomb interaction), we may identify the entire momentum space with a single sector.

Qn αn ) is diagonal in all patch labels, Un (q1 α1 . . qn αn ) = δ α1 α2 · · · δ α1 αn Unα1 (q1 . . 7) with Unα (q1 . . +qn ,0 i β n 1 n! n) k × G0 (k)G0 (k + qP2 ) · · · G0 (k + qP2 + . . + qPn ) . 6) as the diagonal-patch approximation. It is important to note that at finite qc /kF this approximation can only become exact in d = 1, because in this case the Fermi surface consists of two widely separated points. Except for special cases (see Chap. 7), in higher dimensions the covering of the Fermi surface involves always some adjacent patches, which can be connected by arbitrarily small momentum-transfers q.

7. Subdivision of the entire momentum space of a two-dimensional system with a spherical Fermi surface (thick solid circle) into sectors. The solid arrows point to the origins kα of local coordinate systems associated with the sectors. Note that only for sectors at the Fermi surface we may choose kα such that ǫkα = µ. For example ǫk2 = µ, but ǫk1 and ǫk3 are different from µ. k3 k2 k1 q k k (a) α (b) Fig. 8. (a) Spherical Fermi surface and wavevector k close to the Fermi surface. (b) If we are interested in G(k, i˜ ωn ), we choose the coordinate origin kα such that k = kα +q, with q parallel to kα .

Download PDF sample

Rated 4.53 of 5 – based on 48 votes