02833nam 2200553 450 991082811170332120170822144216.01-4704-0612-8(CKB)3360000000465179(EBL)3114052(SSID)ssj0000889176(PQKBManifestationID)11478755(PQKBTitleCode)TC0000889176(PQKBWorkID)10876270(PQKB)11772015(MiAaPQ)EBC3114052(RPAM)16658317(PPN)195418840(EXLCZ)99336000000046517920150415h20102010 uy 0engur|n|---|||||txtccrRearranging Dyson-Schwinger equations /Karen YeatsProvidence, Rhode Island :American Mathematical Society,2010.©20101 online resource (82 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 211, Number 995"Volume 211, Number 995 (end of volume)."0-8218-5306-6 Includes bibliographical references and index.""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""Memoirs of the American Mathematical Society ;Volume 211, Number 995.Feynman diagramsQuantum field theoryMathematicsFeynman diagrams.Quantum field theoryMathematics.530.15/1539Yeats Karen1980-916044MiAaPQMiAaPQMiAaPQBOOK9910828111703321Rearranging Dyson-Schwinger equations4038349UNINA