## Quantum Field Theory: The Why, What and HowThis book describes, in clear terms, the Why, What and the How of Quantum Field Theory. The raison d'etre of QFT is explained by starting from the dynamics of a relativistic particle and demonstrating how it leads to the notion of quantum fields. Non-perturbative aspects and the Wilsonian interpretation of field theory are emphasized right from the start. Several interesting topics such as the Schwinger effect, Davies-Unruh effect, Casimir effect and spontaneous symmetry breaking introduce the reader to the elegance and breadth of applicability of field theoretical concepts. Complementing the conceptual aspects, the book also develops all the relevant mathematical techniques in detail, leading e.g., to the computation of anomalous magnetic moment of the electron and the two-loop renormalisation of the self-interacting scalar field. It contains nearly a hundred problems, of varying degrees of difficulty, making it suitable for both self-study and classroom use. |

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Fabulous book......Marvellous

### Contents

1 | |

Chapter 2 Disturbing the Vacuum | 45 |

Chapter 3 From Fields to Particles | 66 |

Interactions | 131 |

Fermions and QED | 189 |

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### Common terms and phrases

analytically continue annihilation operators antiparticle arises charge classical commutation rules complex scalar field compute consider coordinates corresponding coupling constant creation and annihilation defined depend described dimensional Dirac equation divergent effective action effective Lagrangian electromagnetic field electron energy scale evaluate expectation value fact factor fermions Feynman diagrams finite Fourier transform gauge fixing gauge invariance given Hamiltonian harmonic oscillators interaction introduce involving Lagrangian leads Leff loop Lorentz boosts Lorentz group Lorentz invariant Lorentz transformation mass modes momentum space non-relativistic obtain parameters path integral perturbation theory photon propagator physical potential procedure propagation amplitude quadratic quantization quantum field theory quantum mechanics relation relativistic particle renormalization representation right hand side rotations scalar field Schrodinger Sect ſº spacelike spacetime spin spinor tion vacuum vanish variables vector wave function write zero