## Quantum Field TheoryThis book is a modern pedagogic introduction to the ideas and techniques of quantum field theory. After a brief overview of particle physics and a survey of relativistic wave equations and Lagrangian methods, the quantum theory of scalar and spinor fields, and then of gauge fields, is developed. The emphasis throughout is on functional methods, which have played a large part in modern field theory. The book concludes with a brief survey of 'topological' objects in field theory and, new to this edition, a chapter devoted to supersymmetry. |

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### Contents

3 | |

Canonical quantisation and particle interpretation | |

Guide to further reading 5 Path integrals andquantum mechanics | |

scalar and spinor fields | |

gauge fields | |

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### Common terms and phrases

2point 3dimensional 4point function algebra analogous andthe antiparticles Bohm–Aharonov bosons boundary calculate charge commutation relations components condition conserved consider corresponding covariant derivative cross section defined denoted differential Dirac equation divergent electromagnetic field electron example expression fermion Feynman diagram Feynman rules field theory finite follows formula gauge field gauge invariance gauge theories gauge transformation generalisation gives gluons graph Grassmann Green’s functions hadrons Hence identity integral interaction inthe isospin Klein–Gordon equation Lagrangian lefthand Lorentz group Lorentz transformations magnetic mass massless matrix Maxwell’s equations momentum nonAbelian gauge nonzero normalisation obey ofthe operator parameters particle photon physical potential propagator quantisation quantity quantum quark renormalisation representation rotation scalar field scattering amplitude selfenergy solution space space–time spin spinor Substituting supersymmetry symmetry tensor term thatthe theorem tothe unitary vacuum vanishes vector vertex vertex function wave function zero