Degeneracy of the Mass Spectrum for Infinite-Component Fields
- 15 June 1970
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 1 (12) , 3511-3513
- https://doi.org/10.1103/physrevd.1.3511
Abstract
The "no-go" theorem of Grodsky and Streater is extended to nonrenomalizable local theories in which the two-point function may increase faster than any polynomial in momentum space. As a result the non-existence of a local irreducible infinite-component field with a nontrivial mass spectrum is demonstrated without "technical" assumptions.Keywords
This publication has 12 references indexed in Scilit:
- Infinite-Component Local Field Theory with a Rising Mass SpectrumPhysical Review D, 1970
- On the covariant structure of the two-point functionCommunications in Mathematical Physics, 1969
- Spectral Representation of the Covariant Two-Point Function and Infinite-Component Fields with Arbitrary Mass SpectrumJournal of Mathematical Physics, 1969
- Majorana Representations of the Lorentz Group and Infinite-Component FieldsJournal of Mathematical Physics, 1968
- Construction of Local Quantum Fields Describing Many Masses and SpinsPhysical Review B, 1968
- No-Go TheoremPhysical Review Letters, 1968
- Complete sets of solutions of linear Lorentz covariant field equations with an infinite number of field componentsCommunications in Mathematical Physics, 1967
- Diseases of Infinite-Component Field TheoriesPhysical Review B, 1967
- Form Factors at Large Momentum TransferPhysical Review Letters, 1966
- The Concept of Nonlocalizable Fields and its Connection with Nonrenormalizable Field TheoriesJournal of Mathematical Physics, 1964