This is the web page for the book
Introduction to the Functional Renormalization Group
by Peter Kopietz,
Lorenz Bartosch, and Florian Schütz
380 pages, hardcover,
This book serves as a pedagogic
and self-contained introduction to the renormalization group with
special emphasis on the functional renormalization group. The
functional renormalization group is a modern formulation of the
Wilsonian renormalization group in terms of formally exact functional
differential equations for generating functionals.
In Part I the reader is introduced to the basic concepts of the
renormalization group idea, requiring only basic knowledge of
equilibrium statistical mechanics. More advanced methods, such as
diagrammatic perturbation theory, are introduced step by step.
Part II then gives a self-contained introduction to the functional
renormalization group. After a careful definition of various types of
generating functionals, the renormalization group flow equations for
these functionals are derived. This procedure is shown to encompass the
traditional method of the mode elimination steps of the Wilsonian
renormalization group procedure. Then, approximate solutions of these
flow equations using expansions in powers of irreducible vertices or in
powers of derivatives are given.
Finally, in Part III the exact hierarchy of functional
renormalization group flow equations for the irreducible vertices is
used to study various aspects of non-relativistic fermions, including
the so-called BCS-BEC crossover, thereby making the link to
contemporary research topics.
Our book (380 pages) has been published very recently
and is available via Springer-Verlag in electronic and
Springer web-page of the book