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- W48488907 abstract "Abstract THE present paper will discuss some asymptotic properties of the dynamic variables and of the conservation laws in field theory, that correspond to fields with progressive singularities. The method which we shall adopt throughout is based on interpretation of all the equations in the sense of the theory of Schwartz distributions. In our case it is completely equivalent to a description of the field with the aid of weak solutions, though it possesses considerable technical advantages. As regards the equations discussed, we shall adopt the point of view of [1], namely, we shall consider the equations whose characteristic manifolds are described by the eikonal equation∗∗ Here Ai are the electromagnetic potentials, c is the velocity of light, s the action, and e and m respectively the charge and mass of the particle described by (1). We shall consider below the second order hyperbolic equation in the scalar function W, describing certain types of meson, G σμ δ 2 W gdx σ δx μ = 0 (2) and the first order hyperbolic system, describing the spinor particles, γ σ δU δx σ = 0 , (3) where U is the four-component spinor and γσ are the familiar Dirac matrices, satisfying the anticommutational relations γiγj + γjγi + γjγi = − 2δij, γ4 = I − giγi." @default.
- W48488907 created "2016-06-24" @default.
- W48488907 creator A5035608343 @default.
- W48488907 date "1964-01-01" @default.
- W48488907 modified "2023-09-25" @default.
- W48488907 title "Asymptotic properties of the dynamic variables in the theory of spinor and scalar meson fields" @default.
- W48488907 cites W2017048622 @default.
- W48488907 doi "https://doi.org/10.1016/0041-5553(64)90143-0" @default.
- W48488907 hasPublicationYear "1964" @default.
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