000			04010nam a22005535i 4500
001			978-3-642-05094-7
003			DE-He213
005			20140220084527.0
007			cr nn 008mamaa
008			100427s2010 gw | s |||| 0|eng d
020			_a9783642050947 _9978-3-642-05094-7
024	7		_a10.1007/978-3-642-05094-7 _2doi
050		4	_aQC5.53
072		7	_aPHU _2bicssc
072		7	_aSCI040000 _2bisacsh
082	0	4	_a530.15 _223
100	1		_aKopietz, Peter. _eauthor.
245	1	0	_aIntroduction to the Functional Renormalization Group _h[electronic resource] / _cby Peter Kopietz, Lorenz Bartosch, Florian Schütz.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2010.
300			_aXII, 380p. 68 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aLecture Notes in Physics, _x0075-8450 ; _v798
505	0		_aI 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.
520			_aThis 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		0	_aPhysics.
650		0	_aQuantum theory.
650		0	_aMathematical physics.
650		0	_aMagnetism.
650	1	4	_aPhysics.
650	2	4	_aMathematical Methods in Physics.
650	2	4	_aSolid State Physics.
650	2	4	_aSpectroscopy and Microscopy.
650	2	4	_aStatistical Physics, Dynamical Systems and Complexity.
650	2	4	_aQuantum Physics.
650	2	4	_aMagnetism, Magnetic Materials.
700	1		_aBartosch, Lorenz. _eauthor.
700	1		_aSchütz, Florian. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783642050930
830		0	_aLecture Notes in Physics, _x0075-8450 ; _v798
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-642-05094-7
912			_aZDB-2-PHA
912			_aZDB-2-LNP
999			_c111674 _d111674