**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

**Homogeneous Boltzmann Equation in Quantum Relativistic Kinetic Theory**

by

**M. Escobedo, S. Mischler, M.A. Valle**-

**American Mathematical Society**

We consider some mathematical questions about Boltzmann equations for quantum particles, relativistic or non relativistic. Relevant cases such as Bose, Bose-Fermi, and photon-electron gases are studied. We also consider some simplifications ...

(

**8088**views)

**Introduction to the Field Theory of Classical and Quantum Phase Transitions**

by

**Flavio S. Nogueira**-

**arXiv**

These notes provide a self-contained introduction to field theoretic methods employed in the study of classical and quantum phase transitions. Classical phase transitions occur at a regime where quantum fluctuations do not play an important role.

(

**8716**views)

**Lectures on Noise Sensitivity and Percolation**

by

**Christophe Garban, Jeffrey E. Steif**-

**arXiv**

The goal of this set of lectures is to combine two seemingly unrelated topics: (1) The study of Boolean functions, a field particularly active in computer science; (2) Some models in statistical physics, mostly percolation.

(

**11781**views)

**Statistical Field Theory**

by

**H.T.C. Stoof**-

**Utrecht University**

We give a self-contained introduction to the quantum field theory for many-particle systems, using functional methods throughout. We focus in general on the behavior of so-called quantum liquids, i.e., quantum gases and liquids.

(

**8695**views)