## Field Theory: Classical theory |

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### Contents

Preface | 9 |

The Restricted Lorentz Group and the Infinitesimal Lorentz Trans | 18 |

Vector Spaces Fields and Representations | 27 |

Copyright | |

21 other sections not shown

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### Common terms and phrases

according action functional angular momentum antisymmetric basic vectors bispinor Chapter coefficients complex conjugate components consider constant coordinates corresponding differential conservation laws differential operator Dirac equations domain of integration domain Q dynamical system electromagnetic energy-momentum and angular equation 2.2 equations 1.31 equations of motion expression field equations Field Theory form factor formulae four-vector full Lorentz group gauge transformations homogeneous independent indices inhomogeneous equation integral conservation laws integrand integro-differential equations interactions introduce invariant with respect inversions of space J-function kernel Klein-Gordon equation Lagrange function light cone Lorentz invariant Lorentz transformations matrices means non-local obtain parameter particles particular solution quantities relations respect to inversions restricted Lorentz group result right-hand side rotations of space-time satisfies scalar Section solution of equation space-like space-like surface spinor of rank subsidiary condition surface integral symmetric tensor term trans transformation properties two-component values vanishes variables variational principle vector space world line write