**Bosonization of Interacting Fermions in Arbitrary Dimensions**

by Peter Kopietz

**Publisher**: arXiv 2006**ISBN/ASIN**: 3540627200**Number of pages**: 287

**Description**:

In this book we describe a new non-perturbative approach to the fermionic many-body problem, which can be considered as a generalization to arbitrary dimensions of the well-known bosonization technique for one-dimensional fermions. Our approach is based on the direct calculation of correlation functions of interacting Fermi systems with dominant forward scattering via functional integration and Hubbard-Stratonovich transformations.

Download or read it online for free here:

**Download link**

(1.8MB, PDF)

## Similar books

**Statistical Mechanics and the Physics of the Many-Particle Model Systems**

by

**A. L. Kuzemsky**-

**arXiv**

The development of methods of quantum statistical mechanics is considered in light of their applications to quantum solid-state theory. We discuss fundamental problems of the physics of magnetic materials and methods of quantum theory of magnetism.

(

**5876**views)

**Kinetic Theory**

by

**David Tong**-

**University of Cambridge**

This is a graduate course on topics in non-equilibrium statistical mechanics, covering kinetic theory, stochastic processes and linear response. It is aimed at masters students and PhD students. The full set of lecture notes are around 100 pages.

(

**4454**views)

**Theoretical Physics IV: Statistical Physics**

by

**Peter E. BlĂ¶chl**-

**Clausthal University of Technology**

From the table of contents: Entropy and Information; The ideal Boltzmann gas; Equilibrium; Thermodynamic Processes; The Language of Thermodynamics; The Language of Statistical Physics; Non-interacting Model Systems; Non-interacting particles.

(

**2611**views)

**Fluctuation-Dissipation: Response Theory in Statistical Physics**

by

**U.M.B. Marconi, A. Puglisi, L. Rondoni, A. Vulpiani**-

**arXiv**

General aspects of the Fluctuation-Dissipation Relation (FDR), and Response Theory are considered. We illustrate the relation between the relaxation of spontaneous fluctuations, and the response to an external perturbation.

(

**2689**views)