A formalism for the calculus of variations with spinors

被引：10

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.

引用

页数：18

共 11 条

[1]

[Anonymous], 1983, Variational calculus with elementary convexity. Undergraduate Texts in Mathematics

[2]

Arnowitt R., 1962, Gravitation: An Introduction to Current Research, P227

[3]

Backdahl T., 2011, SYMMANIPULATOR

[4] Approximate twistors and positive mass [J].