## The method of functionals in the quantum theory of fields |

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### Contents

introductory article by N N Bogolyubov | 1 |

5 The spacetime treatment of the quantum theory | 5 |

the method of functionals in the quantum theory | 13 |

Copyright | |

4 other sections not shown

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### Common terms and phrases

amplitude of finding analogous annihilation operators anticommuting functions Bose field bosons coefficients commutation relations coordinate space corresponding creation operators defined denote derivatives with respect determined Dirac spinors eigenfunctions equations 2.55 equations 5.10 equations in variational equations with variational expansion expression external field external sources Fermi field fermions field operators Fock functional formula four-dimensional Fourier func functional derivatives functional F functional of external Green's functions Hermitian conjugates infinite number integral equation interacting fields introduce Let us consider matrix elements means meson field method of Fock method of functionals momentum multiplication operator non-interacting fields normalizing nucleon field number of degrees number of particles operators a+(p ordinary perturbation theory probability amplitudes problem quantum field theory quantum theory relativistic functions renormalization right-hand side Schwinger secondary quantization single-particle solution space-time treatment spinor T-functions Tamm-Dancoff method theory of fields tion transformation vacuum functional variables variational derivatives vector wave functions