A SPECTRUM OF THE DIRAC OPERATOR WITH AN EXTERNAL YANG-MILLS GAUGE FIELD ON DE SITTER SPACE
The Dirac operator with an external Yang–Mills gauge field is considered on de Sitter space in terms of a noncommutative integration method related to the orbit method in the Lie group theory. A Yang–Mills field is presented for which the de Sitter group serves as the symmetry group of the Dirac operator. A spectrum of the Dirac operator with the Yang–Mills field is calculated in explicit form.
Keywords: the Dirac equation, noncommutative integration, de Sitter space
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Issue: 12, 2014
Series of issue: Issue 12
Pages: 25 — 27
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