학술논문
A formalism for the calculus of variations with spinors
Document Type
Author
Bäckdahl, Thomas, 1980; Kroon, J. A. V.
Source
Journal of Mathematical Physics. 57(2)
Subject
Language
English
ISSN
0022-2488
Abstract
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.