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LOCAL INVARIANCE AND THE THEORY OF COMPENSATING FIELDS

1962; Lebedev Physical Institute; Volume: 4; Issue: 4 Linguagem: Inglês

10.1070/pu1962v004n04abeh003350

2169-5296

V. B. Adamskii,

Magnetic Properties of Alloys

It is characteristic of contemporary physical theories that the equations and dynamic variables referring to a phenomenon are invariant to some type of transformations, that is, the parameters determining a transformation are independent at each point of space-time. However, it is necessary to introduce a new compensating force which satisfies the invariance under the conditions of independence. Thus, an electromagnetic field is introduced if it is assumed that the phase property is a function of the space coordinates and time. The general thoery of local invariance is discussed and it is shown that if there is a field whose action is invariant with respect to a group of transformations depending on one or more of the parameters alpha /sub i/, it is necessary to introduce a compensating field on making a transformation where the new parameters depend on the coordinates of alpha ;. The conservation of charge in reactions between heavy particles barions) and the corresponding phase transformation is discussed. It is pointed out that here there is a complete analogy with the conservation of electrical change. Yang and Mills have shown that it is necessary to postulate the existence of a 12-component, B-field if invariance is assumed with respectmore » to local inde pendent transformations in isotopic space. The existence of an intermediate meson in weak interactions is examined from the point of view of local invariance. The concept of the invariance of a compensating charge field is applied to the theory of weak interactions. It is shown that it is necessary to introduce a compensating gravitational field in order to conserve invariance, even when a curvo-linear set of coordinates is used. The rest mass does not enter into these compensating fields, and hence it would seem that these compensating fields are completely analogous to coulombic fields. (TTT)« less