Quantum Theory of Non-Local Fields. Part I. Free Fields
- 15 January 1950
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 77 (2), 219-226
- https://doi.org/10.1103/physrev.77.219
Abstract
The possibility of a theory of non-local fields, which is free from the restriction that field quantities are always point functions in the ordinary space, is investigated. Certain types of non-local fields, each satisfying a set of mutually compatible commutation relations, which can be obtained by extending familiar field equations for local fields in conformity with the principle of reciprocity, are considered in detail. Thus a scalar non-local field is obtained, which represents an assembly of particles with the mass, radius and spin 0, provided that the field is quantized according to the procedure similar to the method of second quantization in the usual field theory. Non-local vector and spinor fields corresponding to assemblies of particles with the finite radius and the spins 1 and ½ respectively are obtained in the similar way.Keywords
This publication has 18 references indexed in Scilit:
- Theory of the Interaction of Elementary Particles. IVProgress of Theoretical Physics, 1950
- On Realistic Field Theories and the Polarization of the VacuumPhysical Review B, 1949
- On the Use of Subtraction Fields and the Lifetimes of Some Types of Meson DecayPhysical Review B, 1949
- On the Radius of the Elementary ParticlePhysical Review B, 1949
- On the Invariant Regularization in Relativistic Quantum TheoryReviews of Modern Physics, 1949
- Models and Methods in the Meson TheoryReviews of Modern Physics, 1949
- On the -Decay of Neutral MesonProgress of Theoretical Physics, 1949
- Recent Developments in the Theory of the ElectronReviews of Modern Physics, 1949
- Relativistic Cut-Off for Quantum ElectrodynamicsPhysical Review B, 1948
- A Convergent Expression for the Magnetic Moment of the NeutronPhysical Review B, 1948