LEADER 02833nam 2200553 450 001 9910828111703321 005 20170822144216.0 010 $a1-4704-0612-8 035 $a(CKB)3360000000465179 035 $a(EBL)3114052 035 $a(SSID)ssj0000889176 035 $a(PQKBManifestationID)11478755 035 $a(PQKBTitleCode)TC0000889176 035 $a(PQKBWorkID)10876270 035 $a(PQKB)11772015 035 $a(MiAaPQ)EBC3114052 035 $a(RPAM)16658317 035 $a(PPN)195418840 035 $a(EXLCZ)993360000000465179 100 $a20150415h20102010 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aRearranging Dyson-Schwinger equations /$fKaren Yeats 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2010. 210 4$dİ2010 215 $a1 online resource (82 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 211, Number 995 300 $a"Volume 211, Number 995 (end of volume)." 311 $a0-8218-5306-6 320 $aIncludes bibliographical references and index. 327 $a""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"" 327 $a""Chapter 6. Reduction to geometric series""""6.1. Single equations""; ""6.2. Systems""; ""Chapter 7. The second recursion""; ""7.1. Single equations""; ""7.2. Systems""; ""7.3. Variants""; ""Chapter 8. The radius of convergence""; ""8.1. Single equations""; ""8.2. Systems""; ""8.3. Possibly negative systems""; ""Chapter 9. The second recursion as a differential equation""; ""9.1. P(x)=x""; ""9.2. QED as a single equation""; ""9.3. Results on global solutions""; ""9.4. The running coupling""; ""Bibliography""; ""Index"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 211, Number 995. 606 $aFeynman diagrams 606 $aQuantum field theory$xMathematics 615 0$aFeynman diagrams. 615 0$aQuantum field theory$xMathematics. 676 $a530.15/1539 700 $aYeats$b Karen$f1980-$0916044 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910828111703321 996 $aRearranging Dyson-Schwinger equations$94038349 997 $aUNINA