Description 
1 online resource (xiv, 375 pages) : illustrations 
Series 
Lecture notes in physics, 16166361 ; 798 

Lecture notes in physics ; 798. 00758450

Contents 
pt. 1. Foundations of the renormalization group  pt. 2. Introduction to the functional renormalization group  pt. 3. Functional renormalization group approach to fermions 
Summary 
Annotation This book, based on a graduate course given by the authors, is a pedagogic and selfcontained 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 selfcontained 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 nonrelativistic fermions, including the socalled BCSBEC crossover, thereby making the link to contemporary research topics 
Bibliography 
Includes bibliographical references and index 
Notes 
Print version record 
Subject 
Renormalization group.


Integration, Functional.

Form 
Electronic book

Author 
Bartosch, L. (Lorenz)


Schütz, F. (Florian)

LC no. 
2009941817 
ISBN 
9783642050947 

3642050948 
