A Non-Trivial Example of a Relativistic Quantum Theory of Particles without Divergence Difficulties

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概要

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• A simple but non-trivial set of generators P_μ and M_<μν> of the Poincare group is obtained in terms of creation- and annihilation operators of particles. P_4 contains a cutoff form factor, which is a function of the square of the invariant momentum transfer at the interaction vertex. The relativistic quantum theory of particles thus obtained has no divergence difficulties. It is shown that the theory differs from the ordinary quantized field theory in the point that the former is not "manifestly" invariant although it still satisfies the symmetry requirements of special relativity. The method used is of rather general character, and the essential points, which have to be taken into consideration for the application to more realistic systems of particles, are discussed.

• 理論物理学刊行会の論文
• 1966-05-25

著者

• Kita Hideji

  School Of Liberal Arts And Natural Sciences Kyoto University

• Kita H.

  School of Liberal Arts and Natural Sciences, Kyoto University

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• Relativity of Inertial Forces
• A Non-Trivial Example of a Relativistic Quantum Theory of Particles without Divergence Difficulties
• Structure of the State Space in a Convergent Relativistic Model Theory of Interacting Particles
• Vertex Functions in Convergent Relativistic Model Theories
• A Realistic Model of Convergent Relativistic Quantum Mechanics of Interacting Particles

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