An Approach in the Canonical Formalism of Quantum Field Theory

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概要

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• Vacuum and other states are studied by the canonical formalism of quantum field theory. At first we define the physical vacuum by a free vacuum and creation operators of a Fock space, which is constructed from field variables at a fixed time. It is rewritten in such a way that a state obtained by applying an annihilation operator to the vacuum is equated with the state obtained by applying power series of creation operators to the vacuum. Parameters of this series (β parameters) characterize the vacuum and define new operators which annihilate the physical vacuum. If we consider any state to be represented by power siries of adjoint of the new operators applied on the vacuum, we can prove that their coeffients (ρ parameters) are expectation values of field operators. β parameters are determined by the Hamiltonian of the system. A method to obtain them from a given Hamiltonian is shown by simple examples. In our treatment, self-coupled neutral scalar fields are considered in practice.

• 理論物理学刊行会の論文
• 1965-05-25

著者

• Watanabe Ichie

  Tokyo Medical And Dental University

関連論文

• Permutation Symmetry of the Quark Fields
• An Approach in the Canonical Formalism of Quantum Field Theory

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