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Rearranging Dyson-Schwinger Equations.

By: Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 2011Copyright date: ©2010Edition: 1st edDescription: 1 online resource (98 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470406127
Subject(s): Genre/Form: Additional physical formats: Print version:: Rearranging Dyson-Schwinger EquationsDDC classification:
  • 530.15/1539
LOC classification:
  • QC174.17.F45 -- .Y43 2010eb
Online resources:
Contents:
Intro -- Contents -- Abstract -- Foreword -- Preface -- Chapter 1. Introduction -- Chapter 2. Background -- 2.1. Series -- 2.2. Feynman graphs as combinatorial objects -- 2.3. Feynman graphs as physical objects -- Chapter 3. Dyson-Schwinger equations -- 3.1. B+ -- 3.2. Dyson-Schwinger equations -- 3.3. Setup -- Chapter 4. The first recursion -- 4.1. From the renormalization group equation -- 4.2. From SY -- 4.3. Properties -- Chapter 5. Reduction to one insertion place -- 5.1. Colored insertion trees -- 5.2. Dyson-Schwinger equations with one insertion place -- Chapter 6. Reduction to geometric series -- 6.1. Single equations -- 6.2. Systems -- Chapter 7. The second recursion -- 7.1. Single equations -- 7.2. Systems -- 7.3. Variants -- Chapter 8. The radius of convergence -- 8.1. Single equations -- 8.2. Systems -- 8.3. Possibly negative systems -- Chapter 9. The second recursion as a differential equation -- 9.1. P(x)=x -- 9.2. QED as a single equation -- 9.3. Results on global solutions -- 9.4. The running coupling -- Bibliography -- Index.
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Intro -- Contents -- Abstract -- Foreword -- Preface -- Chapter 1. Introduction -- Chapter 2. Background -- 2.1. Series -- 2.2. Feynman graphs as combinatorial objects -- 2.3. Feynman graphs as physical objects -- Chapter 3. Dyson-Schwinger equations -- 3.1. B+ -- 3.2. Dyson-Schwinger equations -- 3.3. Setup -- Chapter 4. The first recursion -- 4.1. From the renormalization group equation -- 4.2. From SY -- 4.3. Properties -- Chapter 5. Reduction to one insertion place -- 5.1. Colored insertion trees -- 5.2. Dyson-Schwinger equations with one insertion place -- Chapter 6. Reduction to geometric series -- 6.1. Single equations -- 6.2. Systems -- Chapter 7. The second recursion -- 7.1. Single equations -- 7.2. Systems -- 7.3. Variants -- Chapter 8. The radius of convergence -- 8.1. Single equations -- 8.2. Systems -- 8.3. Possibly negative systems -- Chapter 9. The second recursion as a differential equation -- 9.1. P(x)=x -- 9.2. QED as a single equation -- 9.3. Results on global solutions -- 9.4. The running coupling -- Bibliography -- Index.

Description based on publisher supplied metadata and other sources.

Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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