Analyticity, Covariance, and Unitarity in Indefinite-Metric Quantum Field Theories
- 15 October 1971
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 4 (8) , 2242-2254
- https://doi.org/10.1103/physrevd.4.2242
Abstract
The general properties of analyticity, covariance, and unitarity are studied in quantum field theories regularized by finite-mass, indefinite-norm states. After reviewing the general status of indefinite-metric theories, a relativistic scalar model is analyzed for covariance and analyticity. This model shows that a commonly accepted prescription for treating the negative-norm states is not covariant, and more sophisticated methods are required. The technique of shadow states developed elsewhere is reviewed and applied to this problem.Keywords
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