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Extended Lorentz invariance and field theory

Research output: Contribution to journalJournal articlepeer-review

Published
<mark>Journal publication date</mark>1981
<mark>Journal</mark>Journal of Physics A: Mathematical and General
Issue number7
Volume14
Number of pages15
Pages (from-to)1745-1759
Publication StatusPublished
<mark>Original language</mark>English

Abstract

The role of the extended Lorentz group as an invariance of physical theories is re-examined. Contrary to common acceptance it is asserted that all known theories, including those that describe the weak interactions exhibit invariance under the extended Lorentz group of frame transformations. The fundamental discrete transformations are defined, independent of any particular field system, as endomorphisms on the space of spin frames over space-time. The appropriate transformations for spinor fields are considered in detail, and the notions of covariance under frame reversal is contrasted with other notions of 'parity invariance'.