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PRINTED BOOKS
Author Veltman, Martinus.

Title Diagrammatica : the path to Feynman rules / Martinus Veltman.

Published Cambridge : Cambridge University Press, 1995.
©1994

Copies

Location Call No. Status
 UniM ERC  530.143 VELT    AVAILABLE
Physical description xii, 284 pages : illustrations ; 23 cm.
Series Cambridge lecture notes in physics ; 4.
Cambridge lecture notes in physics ; 4.
Notes Includes index.
Cover title: Diagrammatica, the path to Feynman diagrams.
Reprinted 1995.
Contents 1 Lorentz and Poincare Invariance 1 -- 1.1 Lorentz Invariance 1 -- 1.2 Structure of the Lorentz Group 7 -- 1.3 Poincare Invariance 10 -- 1.4 Maxwell Equations 10 -- 1.5 Notations and Conventions 12 -- 2 Relativistic Quantum Mechanics of Free Particles 15 -- 2.1 Hilbert Space 15 -- 2.2 Matrices in Hilbert Space 22 -- 2.3 Fields 25 -- 2.4 Structure of Hilbert Space 29 -- 3 Interacting Fields 32 -- 3.1 Physical System 32 -- 3.2 Hilbert Space 33 -- 3.3 Magnitude of Hilbert Space 34 -- 3.4 U-matrix, S-matrix 35 -- 3.5 Interpolating Fields 39 -- 3.6 Feynman Rules 46 -- 3.7 Feynman Propagator 54 -- 3.8 Scattering Cross Section 55 -- 3.9 Lifetime 60 -- 3.10 Numerical Evaluation 62 -- 3.11 Schrodinger Equation, Bound States 62 -- 4 Particles with Spin 68 -- 4.1 Representations of the Lorentz Group 68 -- 4.2 Dirac Equation 76 -- 4.3 Fermion Fields 79 -- 4.4 E.M. Field 85 -- 4.5 Quantum Electrodynamics 87 -- 4.6 Charged Vector Boson Fields 91 -- 4.7 Electron-Proton Scattering. The Rutherford Formula 92 -- 5 Explorations 98 -- 5.1 Scattering Cross Section for e[superscript +]e[superscript -] [right arrow] [mu superscript + mu superscript -] 98 -- 5.2 Pion Decay. Two Body Phase Space. Cabibbo Angle 101 -- 5.3 Vector Boson Decay 105 -- 5.4 Muon Decay. Fiertz Transformation 108 -- 5.5 Hyperon Leptonic Decay 117 -- 5.6 Pion Decay and PCAC 124 -- 5.7 Neutral Pion Decay and PCAC 131 -- 6 Renormalization 137 -- 6.2 Loop Integrals 137 -- 6.3 Self Energy 145 -- 6.4 Power Counting 148 -- 6.5 Quantum Electrodynamics 151 -- 6.6 Renormalizable Theories 153 -- 6.7 Radiative Corrections: Lamb Shift 154 -- 6.8 Radiative Corrections: Top Correction to [rho]-Parameter 157 -- 6.9 Neutral Pion Decay and the Anomaly 162 -- 7 Massive and Massless Vector Fields 169 -- 7.1 Subsidiary Condition Massive Vector Fields 169 -- 7.2 Subsidiary Condition Massless Vector Fields 171 -- 7.3 Photon Helicities 173 -- 7.4 Propagator and Polarization Vectors of Massive Vector Particles 174 -- 7.5 Photon Propagator 177 -- 7.6 Left Handed Photons 180 -- 8 Unitarity 183 -- 8.1 U-matrix 183 -- 8.2 Largest Time Equation 185 -- 8.3 Cutting Equations 187 -- 8.4 Unitarity and Cutting Equation 191 -- 8.5 Unitarity: General Case 197 -- 8.6 Kallen-Lehmann Representation, Dispersion Relation 200 -- 8.7 Momenta in Propagators 204 -- 9 Quantum Electrodynamics: Finally 207 -- 9.1 Unitarity 207 -- 9.2 Ward Identities 208 -- Appendix A Complex Spaces, Matrices, CBH Equation 213 -- A.2 Differentiation of Matrices 217 -- A.3 Functions of Matrices 218 -- A.4 CBH Equation 220 -- Appendix B Traces 224 -- B.2 Multi-Dimensional [gamma]-Matrices 230 -- B.3 Frequently Used Equations 231 -- Appendix C Dimensional Regularization 233 -- Appendix D Summary: Combinatorial Factors 243 -- D.2 External Lines, Spin Sums, Propagators 245 -- D.3 Combinatorial Factors 247 -- Appendix E Standard Model 249 -- E.1 Lagrangian 249 -- E.2 Feynman Rules 258 -- Appendix F Metric and Conventions 273 -- F.2 Translation Examples 279 -- F.3 Translation Dictionary 281.
Subject Path integrals.
Quantum field theory.
Feynman diagrams.
Physics.
ISBN 0521456924 (paperback)
9780521456920 (paperback)