Rearranging Dyson-Schwinger Equations.
Yeats, Karen.
Rearranging Dyson-Schwinger Equations. - 1st ed. - 1 online resource (98 pages) - Memoirs of the American Mathematical Society ; v.211 . - Memoirs of the American Mathematical Society .
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.
9781470406127
Feynman diagrams.
Quantum field theory -- Mathematics.
Electronic books.
QC174.17.F45 -- .Y43 2010eb
530.15/1539
Rearranging Dyson-Schwinger Equations. - 1st ed. - 1 online resource (98 pages) - Memoirs of the American Mathematical Society ; v.211 . - Memoirs of the American Mathematical Society .
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.
9781470406127
Feynman diagrams.
Quantum field theory -- Mathematics.
Electronic books.
QC174.17.F45 -- .Y43 2010eb
530.15/1539