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Author | Title | Accn# | Year | Item Type | Claims |
| 1 |
Kopietz, Peter |
Introduction to the Functional Renormalization Group |
I06592 |
2010 |
eBook |
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| 2 |
Kopietz, Peter |
Bosonization of Interacting Fermions in Arbitrary Dimensions |
I00908 |
1997 |
eBook |
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1.
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| Title | Introduction to the Functional Renormalization Group |
| Author(s) | Kopietz, Peter;Bartosch, Lorenz;Sch??tz, Florian |
| Publication | Berlin, Heidelberg, Springer Berlin Heidelberg, 2010. |
| Description | XII, 380 p. 68 illus : online resource |
| Abstract Note | 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 |
| ISBN,Price | 9783642050947 |
| Keyword(s) | 1. COMPLEX SYSTEMS
2. DYNAMICAL SYSTEMS
3. EBOOK
4. EBOOK - SPRINGER
5. MAGNETIC MATERIALS
6. MAGNETISM
7. Magnetism, Magnetic Materials
8. Mathematical Methods in Physics
9. MICROSCOPY
10. PHYSICS
11. QUANTUM PHYSICS
12. SOLID STATE PHYSICS
13. SPECTROSCOPY
14. Spectroscopy and Microscopy
15. STATISTICAL PHYSICS
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I06592 |
|
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On Shelf |
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2.
 | |
| Title | Bosonization of Interacting Fermions in Arbitrary Dimensions |
| Author(s) | Kopietz, Peter |
| Publication | Berlin, Heidelberg, Springer Berlin Heidelberg, 1997. |
| Description | XII, 259 p. 3 illus : online resource |
| Abstract Note | The author presents in detail a new non-perturbative approach to the fermionic many-body problem, improving the bosonization technique and generalizing it to dimensions d>1 via functional integration and Hubbard--Stratonovich transformations. In Part I he clearly illustrates the approximations and limitations inherent in higher-dimensional bosonization and derives the precise relation with diagrammatic perturbation theory. He shows how the non-linear terms in the energy dispersion can be systematically included into bosonization in arbitrary d, so that in d>1 the curvature of the Fermi surface can be taken into account. Part II gives applications to problems of physical interest, such as coupled metallic chains, electron-phonon interactions, disordered electrons, and electrons coupled to transverse gauge fields. The book addresses researchers and graduate students in theoretical condensed matter physics |
| ISBN,Price | 9783540684954 |
| Keyword(s) | 1. CONDENSED MATTER
2. CONDENSED MATTER PHYSICS
3. EBOOK
4. EBOOK - SPRINGER
5. Mathematical Methods in Physics
6. PHYSICS
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I00908 |
|
|
On Shelf |
|
|
|
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