1.

Record Nr.

UNINA9910828111703321

Autore

Yeats Karen <1980->

Titolo

Rearranging Dyson-Schwinger equations / / Karen Yeats

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 2010

©2010

ISBN

1-4704-0612-8

Descrizione fisica

1 online resource (82 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 211, Number 995

Disciplina

530.15/1539

Soggetti

Feynman diagrams

Quantum field theory - Mathematics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"Volume 211, Number 995 (end of volume)."

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

""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""