LEADER 03407nam 2200589 a 450 001 9910139141603321 005 20200520144314.0 010 $a3-642-05094-8 024 7 $a10.1007/978-3-642-05094-7 035 $a(CKB)2560000000009144 035 $a(SSID)ssj0000399650 035 $a(PQKBManifestationID)11243883 035 $a(PQKBTitleCode)TC0000399650 035 $a(PQKBWorkID)10386130 035 $a(PQKB)10814679 035 $a(DE-He213)978-3-642-05094-7 035 $a(MiAaPQ)EBC3065222 035 $a(PPN)149080883 035 $a(EXLCZ)992560000000009144 100 $a20091118d2009 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aIntroduction to the functional renormalization group /$fP. Kopietz, L. Bartosch, F. Schutz 205 $a1st ed. 2010. 210 $aNew York $cSpringer$d2009 215 $a1 online resource (XII, 380 p. 68 illus.) 225 1 $aLecture notes in physics,$x0075-8450 ;$v798 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-642-26325-9 311 $a3-642-05093-X 320 $aIncludes bibliographical references and index. 327 $apt. 1. Foundations of the renormalization group -- pt. 2. Introduction to the functional renormalization group -- pt. 3. Functional renormalization group approach to fermions. 330 $aThis book, based on a graduate course given by the authors, is a pedagogic and self-contained introduction to the renormalization group with special emphasis on the functional renormalization group. The functional renormalization group is a modern formulation of the Wilsonian renormalization group in terms of formally exact functional differential equations for generating functionals. In Part I the reader is introduced to the basic concepts of the renormalization group idea, requiring only basic knowledge of equilibrium statistical mechanics. More advanced methods, such as diagrammatic perturbation theory, are introduced step by step. Part II then gives a self-contained introduction to the functional renormalization group. After a careful definition of various types of generating functionals, the renormalization group flow equations for these functionals are derived. This procedure is shown to encompass the traditional method of the mode elimination steps of the Wilsonian renormalization group procedure. Then, approximate solutions of these flow equations using expansions in powers of irreducible vertices or in powers of derivatives are given. Finally, in Part III the exact hierarchy of functional renormalization group flow equations for the irreducible vertices is used to study various aspects of non-relativistic fermions, including the so-called BCS-BEC crossover, thereby making the link to contemporary research topics. 410 0$aLecture notes in physics ;$v798. 606 $aRenormalization group 606 $aIntegration, Functional 615 0$aRenormalization group. 615 0$aIntegration, Functional. 676 $a515/.7 700 $aKopietz$b Peter$f1961-$061187 701 $aBartosch$b L$0515322 701 $aSchutz$b F$0356256 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910139141603321 996 $aIntroduction to the functional renormalization group$94196916 997 $aUNINA