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| Material Type: | Internet resource |
|---|---|
| Document Type: | Book, Internet Resource |
| All Authors / Contributors: |
A G Grozin |
| ISBN: | 9789812569141 9812569146 |
| OCLC Number: | 123492724 |
| Description: | xi, 224 p. : ill. ; 24 cm. |
| Contents: | Part 1 QED and QCD 1 -- 1 One-loop diagrams 3 -- 1.1 Divergences, regularization and renormalization 3 -- 1.2 Massive vacuum diagram 6 -- 1.3 Integrals in d dimensions 9 -- 1.4 Feynman parametrization 13 -- 1.5 Massless propagator diagram 14 -- 1.6 Tensors and [gamma]-matrices in d dimensions 17 -- 2 QED at one loop 21 -- 2.1 Lagrangian and Feynman rules 21 -- 2.2 Photon propagator 23 -- 2.3 Ward identity 25 -- 2.4 Photon self-energy 27 -- 2.5 Photon field renormalization 28 -- 2.6 Electron propagator 30 -- 2.7 Vertex and charge renormalization 33 -- 2.8 Electron mass 39 -- 3 QCD at one loop 43 -- 3.1 Lagrangian and Feynman rules 43 -- 3.2 Quark propagator 48 -- 3.3 Gluon propagator 49 -- 3.4 Ghost propagator 52 -- 3.5 Quark-gluon vertex 53 -- 3.6 Coupling constant renormalization 54 -- 3.7 Ghost-gluon vertex 56 -- 3.8 Three-gluon vertex 58 -- 3.9 Four-gluon vertex 65 -- 4 Two-loop corrections in QED and QCD 73 -- 4.1 Massless propagator diagram 73 -- 4.2 Photon self-energy 79 -- 4.3 Photon field renormalization 82 -- 4.4 Charge renormalization 87 -- 4.5 Electron self-energy 89 -- 4.6 Electron field renormalization 93 -- 4.7 Two-loop corrections in QCD 97 -- 5 On-shell renormalization scheme 101 -- 5.1 On-shell renormalization of photon field 101 -- 5.2 One-loop massive on-shell propagator diagram 103 -- 5.3 On-shell renormalization of electron mass and field 106 -- 5.4 On-shell charge 109 -- 5.5 Magnetic moment 111 -- 5.6 Two-loop massive vacuum diagram 116 -- 5.7 On-shell renormalization of photon field and charge at two loops 118 -- 5.8 On-shell renormalization in QCD 119 -- 6 Decoupling of heavy-particle loops 121 -- 6.1 Photon field 121 -- 6.2 Electron field 124 -- 6.3 Charge 127 -- 6.4 Electron mass 129 -- 6.5 Decoupling in QCD 131 -- 7 Conclusion: Effective field theories 135 -- Appendix A Colour factors 141 -- Part 2 Multiloop calculations 157 -- 8 Massless propagator diagrams 159 -- 8.2 One loop 160 -- 8.3 Two loops 162 -- 8.4 Three loops 168 -- 8.5 G(1, 1, 1, 1, n) 171 -- 8.6 Non-planar basis integral 175 -- 9 HQET propagator diagrams 179 -- 9.1 Crash course of HQET 179 -- 9.2 One loop 181 -- 9.3 Two loops 182 -- 9.4 Three loops 187 -- 9.5 J(1, 1, n, 1, 1) 189 -- 9.6 I(1, 1, 1, 1, n) 191 -- 10 Massive on-shell propagator diagrams 197 -- 10.1 One loop 197 -- 10.2 Two loops 199 -- 10.3 Two loops, two masses 202 -- 10.4 Three loops 205 -- 11 Hypergeometric functions and multiple [Zeta] values 209 -- 11.1 Multiple [Zeta] values 209 -- 11.2 Expanding hypergeometric functions in [epsilon]: an example 215 -- 11.3 Expanding hypergeometric functions in [epsilon]: the algorithm 218. |
| Responsibility: | Andrey Grozin. |
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Related Subjects:(9)
- Quantum electrodynamics.
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- 2007-08: Items Purchased, Part 2 of 3(155 items)
by shuylerk updated 2008-10-17
