## From Special Relativity to Feynman Diagrams: A Course in Theoretical Particle Physics for BeginnersThis book, now in its second edition, provides an introductory course on theoretical particle physics with the aim of filling the gap that exists between basic courses of classical and quantum mechanics and advanced courses of (relativistic) quantum mechanics and field theory. After a concise but comprehensive introduction to special relativity, key aspects of relativistic dynamics are covered and some elementary concepts of general relativity introduced. Basics of the theory of groups and Lie algebras are explained, with discussion of the group of rotations and the Lorentz and Poincaré groups. In addition, a concise account of representation theory and of tensor calculus is provided. Quantization of the electromagnetic field in the radiation range is fully discussed. The essentials of the Lagrangian and Hamiltonian formalisms are reviewed, proceeding from systems with a finite number of degrees of freedom and extending the discussion to fields. The final four chapters are devoted to development of the quantum field theory, ultimately introducing the graphical description of interaction processes by means of Feynman diagrams. The book will be of value for students seeking to understand the main concepts that form the basis of contemporary theoretical particle physics and also for engineers and lecturers. An Appendix on some special relativity effects is added. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

1 | |

2 Relativistic Dynamics | 39 |

3 The Equivalence Principle | 65 |

4 The Poincaré Group | 95 |

5 Maxwell Equations and Special Relativity | 143 |

6 Quantization of the Electromagnetic Field | 171 |

7 Group Representations and Lie Algebras | 187 |

8 Lagrangian and Hamiltonian Formalism | 215 |

Appendix A The Eotvös Experiment | 561 |

Appendix B The Newtonian Limit of the Geodesic Equation | 563 |

Appendix C The Twin Paradox | 565 |

Appendix D Jacobi Identity for Poisson Brackets | 569 |

Appendix E Induced Representations and Little Groups | 571 |

Appendix F SU2 and SO3 | 576 |

Appendix G Gamma Matrix Identities | 581 |

Appendix H Simultaneity and Rigid Bodies | 587 |

9 Quantum Mechanics Formalism | 275 |

10 Relativistic Wave Equations | 317 |

11 Quantization of Boson and Fermion Fields | 375 |

12 Fields in Interaction | 453 |

590 | |

593 | |

### Other editions - View all

From Special Relativity to Feynman Diagrams: A Course in Theoretical ... Riccardo D'Auria,Mario Trigiante No preview available - 2016 |

From Special Relativity to Feynman Diagrams: A Course in Theoretical ... Riccardo D'Auria,Mario Trigiante No preview available - 2015 |

### Common terms and phrases

amplitude Chap charge classical components compute conjugate conservation consider constant coordinate transformations corresponding covariant defined definition denote derivative described diagram Dirac equation divergent eigenvalues electromagnetic field electron element energy equations of motion Euclidean expression fermion Feynman field operators finite four-dimensional four-momentum four-vector gauge given gravitational Hamiltonian hermitian implies inertial frame infinitesimal integral interaction invariant Lagrangian density Lorentz covariant Lorentz group Lorentz transformations Lorentz-invariant matrix Minkowski Minkowski space momenta non-relativistic notation observe obtain orthogonal parameters particle photon physical Poincaré group Poincaré transformation Poisson brackets polarization principle of relativity propagator quantities quantization reference frame relation relativistic representation respect right hand side rotation scalar field Sect self-energy ſº space-time special relativity spin spinor symmetry tensor theory transformation property variables vector space velocity vertex wave function write