A formalism for the calculus of variations with spinors

被引：8
作者：
Backdahl, Thomas [1 ,2 ,3 ]
Kroon, Juan A. Valiente [4 ]
机构：
[1] Univ Edinburgh, Sch Math, JCMB 6228,Peter Guthrie Tait Rd, Edinburgh EH9 3FD, Midlothian, Scotland
[2] Chalmers, Math Sci, SE-41296 Gothenburg, Sweden
[3] Univ Gothenburg, SE-41296 Gothenburg, Sweden
[4] Univ London, Sch Math Sci, Mile End Rd, London E1 4NS, England
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2016年 / 57卷 / 02期
基金：
英国工程与自然科学研究理事会;
关键词：
D O I：
10.1063/1.4939562
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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. (C) 2016 AIP Publishing LLC.
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页数：18
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