## Relativistic Quantum Mechanics and Field TheoryAn accessible, comprehensive reference to modern quantum mechanics and field theory. In surveying available books on advanced quantum mechanics and field theory, Franz Gross determined that while established books were outdated, newer titles tended to focus on recent developments and disregard the basics. Relativistic Quantum Mechanics and Field Theory fills this striking gap in the field. With a strong emphasis on applications to practical problems as well as calculations, Dr. Gross provides complete, up-to-date coverage of both elementary and advanced topics essential for a well-rounded understanding of the field. Developing the material at a level accessible even to newcomers to quantum mechanics, the book begins with topics that every physicist should know-quantization of the electromagnetic field, relativistic one body wave equations, and the theoretical explanation of atomic decay. Subsequent chapters prepare readers for advanced work, covering such major topics as gauge theories, path integral techniques, spontaneous symmetry breaking, and an introduction to QCD, chiral symmetry, and the Standard Model. A special chapter is devoted to relativistic bound state wave equations-an important topic that is often overlooked in other books. Clear and concise throughout, Relativistic Quantum Mechanics and Field Theory boasts examples from atomic and nuclear physics as well as particle physics, and includes appendices with background material. It is an essential reference for anyone working in quantum mechanics today. |

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### Contents

Quantization of the Electromagnetic Field | 28 |

Interaction of Radiation with Matter | 57 |

The KleinGordon Equation | 91 |

The Dirac Equation | 119 |

Application of the Dirac Equation | 163 |

Second Quantization | 187 |

Symmetries I | 206 |

Interacting Field Theories | 238 |

Bound States and Unitarity | 373 |

Symmetries II | 415 |

Path Integrals | 448 |

Quantum Chromodynamics and the Standard Model | 492 |

Renormalization | 527 |

The Renormalization Group and Asymptotic Freedom | 573 |

Appendix A Relativistic Notation | 593 |

Evaluation of Loop Diagrams | 606 |

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### Common terms and phrases

annihilation anticommutation antiparticle atomic bosons calculation cancel Chapter charge commutation relations complete components conserved contributions Coulomb counterterms coupling constant covariant creation operators cross section decay rate defined denominator denoted depends derivatives described Dirac equation discussed in Sec divergence electron evaluate example factor fermion Feynman diagrams Feynman rules field theory final finite four-momentum four-vector gauge invariance gauge transformation given in Eq gives gluon graph hadrons Hamiltonian Hence Hermitian identical KG equation Lagrangian density loop Lorentz lowest order M-matrix mass massless matrix element meson momenta momentum negative energy nonrelativistic norm Note obtained parameters parity particle path integral photon physical pion pole positive energy potential Prob propagator quantization quark reduce relativistic renormalization requires result satisfy second order self-energy shown in Fig singular solutions space spin spinors theorem translation operator unitarity vacuum polarization vector vertex correction vertex function wave function zero