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 Theoryby 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 Transitionsby 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 Percolationby 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 Theoryby 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)