TY  - BOOK
AU  - Yeats,Karen
TI  - Rearranging Dyson-Schwinger Equations
T2  - Memoirs of the American Mathematical Society
SN  - 9781470406127
AV  - QC174.17.F45 -- .Y43 2010eb 
U1  - 530.15/1539 
PY  - 2011///
CY  - Providence
PB  - American Mathematical Society
KW  - Feynman diagrams
KW  - Quantum field theory -- Mathematics
KW  - Electronic books
N1  - 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
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114052
ER  -