Introduction to the Functional Renormalization Group
This book, based on a graduate course given by the authors, is 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 i...
Guardat en:
| Autors principals: | , , |
|---|---|
| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edició: | 1st ed. 2010. |
| Col·lecció: | Lecture Notes in Physics
798 |
| Matèries: | |
| Accés en línia: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Introduction to the functional renormalization group, P. Kopietz, L. Bartosch, F. Schütz, 2010, Heidelberg, Springer, 1 vol. (XIV-375 p.), Lecture Notes in Physics, 978-3-642-05093-0 |
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| 100 | 1 | |a Kopietz, Peter, |d 1961- | |
| 245 | 1 | 0 | |a Introduction to the Functional Renormalization Group |c by Peter Kopietz, Lorenz Bartosch, Florian Schütz. |
| 250 | |a 1st ed. 2010. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture Notes in Physics |v 798 |x 1616-6361 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a I Foundations of the renormalization group Phase Transitions and the Scaling Hypothesis Mean-Field Theory and the Gaussian Approximation Wilsonian Renormalization Group Critical Behavior of the Ising Model Close to Four Dimensions Field-Theoretical Renormalization Group II Introduction to the functional renormalization group Functional Methods Exact FRG Flow Equations Vertex Expansion Derivative Expansion III Functional renormalization group approach to fermions Fermionic Functional Renormalization Group Normal Fermions: Partial Bosonization in the Forward Scattering Channel Superfluid Fermions: Partial Bosonization in the Particle Particle Channel | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This book, based on a graduate course given by the authors, is 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 | ||
| 650 | |a Magnétisme | ||
| 650 | |a Théorie quantique | ||
| 650 | |a Physique de l'état solide | ||
| 650 | |a Groupe de renormalisation | ||
| 650 | |a Fermions | ||
| 650 | |a Physique | ||
| 650 | |a Physique mathématique | ||
| 650 | |a Renormalisation (physique) | ||
| 700 | 1 | |a Schütz, Florian, |d 1976- |4 aut | |
| 700 | 1 | |a Bartosch, Lorenz, |d 1969- |4 aut | |
| 776 | 0 | |0 149236026 |t Introduction to the functional renormalization group |f P. Kopietz, L. Bartosch, F. Schütz |d 2010 |c Heidelberg |n Springer |p 1 vol. (XIV-375 p.) |s Lecture Notes in Physics |z 978-3-642-05093-0 | |
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