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Titlebook: Renormalization; An Introduction Manfred Salmhofer Textbook 1999 Springer-Verlag Berlin Heidelberg 1999 Boson.Dirac equation.Feyman graph e

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书目名称Renormalization
副标题An Introduction
编辑Manfred Salmhofer
视频video
概述The first textbook presenting the recently discovered renormalization techniques for the Schrödinger as well as the Dirac equation.Includes supplementary material:
丛书名称Theoretical and Mathematical Physics
图书封面Titlebook: Renormalization; An Introduction Manfred Salmhofer Textbook 1999 Springer-Verlag Berlin Heidelberg 1999 Boson.Dirac equation.Feyman graph e
描述Why another book on the renormalization of field theory? This book aims to contribute to the bridging of the gap between the treatments of renor­ malization in physics courses and the mathematically rigorous approach. It provides a simple but rigorous introduction to perturbative renormalization, and, in doing so, also equips the reader with some basic techniques which are a prerequisite for studying renormalization nonperturbatively. Beside these technical issues, it also contains a proof of renormalizability of ¢4 theory in d :5 4 dimensions and a discussion of renormalization for systems with a Fermi surface, which are realistic models for electrons in metals. Like the two courses on which it is based, the book is intended to be easily accessible to mathematics and physics students from the third year on, and after going through it, one should be able to start reading the current literature on the subject, in particular on nonperturbative renormalization. Chapter 1 provides a brief motivation for studying quantum theory by functional integrals, as well as the setup. In Chap. 2, the techniques of Gaus­ sian integration and Feynman graph expansions are introduced. I then give simp
出版日期Textbook 1999
关键词Boson; Dirac equation; Feyman graph expansion; Helium-Atom-Streuung; PED; REM; Renormalization group; renor
版次1
doihttps://doi.org/10.1007/978-3-662-03873-4
isbn_softcover978-3-642-08430-0
isbn_ebook978-3-662-03873-4Series ISSN 1864-5879 Series E-ISSN 1864-5887
issn_series 1864-5879
copyrightSpringer-Verlag Berlin Heidelberg 1999
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1864-5879 antum theory by functional integrals, as well as the setup. In Chap. 2, the techniques of Gaus­ sian integration and Feynman graph expansions are introduced. I then give simp978-3-642-08430-0978-3-662-03873-4Series ISSN 1864-5879 Series E-ISSN 1864-5887
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Techniques,To get a deeper understanding, as well as the ability to do field theoretic calculations, we need to learn the standard techniques of Gaussian integration. Not all of this will be needed in Chap. 3, but these standard techniques are a prerequisite for reading most of the current literature in field theory.
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The Fermi Surface Problem,In this chapter, we consider an infrared problem with fermions, which is physically more realistic than the ultraviolet problem in ø. theory. In infrared problems, the perturbation expansion is singular because of the slow decay of the free propagator at large distances, not because of a short-distance singularity.
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