Charged Representations of the Infinite Fermi and Clifford Algebras |
| |
Authors: | Email author" target="_blank">E?GalinaEmail author A?Kaplan L?Saal |
| |
Institution: | (1) Centro de Investigaciones y Estudios Matemáticos, Facultad de Matemáticas, Astronomía y Física, Universidad Nacional de Córdoba, Córdoba, 5000, Argentina;(2) Department of Mathematics and Statistics, University of Massachusetts, Amherst, MA, 01003, U.S.A |
| |
Abstract: | The real and quaternionic charge conjugation operators invariant under the infinite-dimensional Clifford algebra, or compatible with the Fermi algebra, are determined. There results a maze of inequivalent irreducible charged representations, all of which are non-Fock. The representation vectors and their charges admit two interpretations besides those of spinors or states of quantum fields: as wavelets on the circle, with charge conjugations acting via ordinary complex conjugation; and as infinite-dimensional numbers, with charge conjugations acting by automorphisms. |
| |
Keywords: | spinors CAR algebra non-Fock representations |
本文献已被 SpringerLink 等数据库收录! |
|