Massless Particles and Fields
- 25 April 1969
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 180 (5), 1556-1571
- https://doi.org/10.1103/physrev.180.1556
Abstract
Free fields of massless particles transforming covariantly under the Poincaré group are constructed. The allowed infinite- and finite-dimensional representations of the Lorentz group are obtained. The wave functions are calculated in these representations in various bases. The commutation rules are computed, and turn out to be nonlocal for any infinite-dimensional fields. The transformation law of a certain irreducible infinite-dimensional representation is shown to coincide, for its lowest-spin component, with the usual, radiation-gauge, vector-potential transformation law, as already discovered by Bender.Keywords
This publication has 2 references indexed in Scilit:
- Free Massless Fields as Infinite-Dimensional Representations of the Lorentz GroupPhysical Review B, 1968
- Feynman Rules for Any Spin. II. Massless ParticlesPhysical Review B, 1964