A formalism for the calculus of variations with spinors
Journal article, 2016

We develop a frame and dyad gauge-independent formalism for the calculus of variations of functionals involving spinorial objects. As a part of this formalism, we define a modified variation operator which absorbs frame and spin dyad gauge terms. This formalism is applicable to both the standard spacetime (i.e., SL(2, C)) 2-spinors as well as to space (i.e., SU(2, C)) 2-spinors. We compute expressions for the variations of the connection and the curvature spinors.


Thomas Bäckdahl

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

J. A. V. Kroon

Queen Mary University of London

Journal of Mathematical Physics

0022-2488 (ISSN) 1089-7658 (eISSN)

Vol. 57 2 artikel nr 022502- 022502

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