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A formalism for the calculus of variations with spinors

Thomas Bäckdahl (Institutionen för matematiska vetenskaper) ; J. A. V. Kroon
Journal of Mathematical Physics (0022-2488). Vol. 57 (2016), 2, p. artikel nr 022502.
[Artikel, refereegranskad vetenskaplig]

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.



Denna post skapades 2016-04-01. Senast ändrad 2016-07-05.
CPL Pubid: 233990

 

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