非线性电磁理论的构成关系与薛定谔表述
高能物理 - 理论
2015-06-15 v2 数学物理
math.MP
摘要
我们对电磁学的非线性及高阶导数扩展进行了系统研究。我们阐明了何时可以从任意（不一定是自对偶的）非线性运动方程显式地获得作用量泛函 。我们表明，起源于超引力反项背景的“变形扭曲自对偶条件”提议，实际上是讨论基于变分原理的自对偶理论所需的通用框架。我们将 Born-Infeld 理论的薛定谔表述推广到非线性及高阶导数理论，并针对后者以及更一般的非线性理论，推导出了相应变形扭曲自对偶条件的闭式表达式。这意味着进入这些对偶条件并导出 Born-Infeld 理论的超几何表达式满足一个隐藏的 quartic 方程。
引用
@article{arxiv.1302.4737,
title = {Constitutive relations and Schroedinger's formulation of nonlinear electromagnetic theories},
author = {Paolo Aschieri and Sergio Ferrara},
journal= {arXiv preprint arXiv:1302.4737},
year = {2015}
}
备注
Revised version with: integrability conditions on equations of motion; equivalence between deformed twisted self-duality conditions and equations of motion from action functionals S[F] (Section 2.5); stressed universality of the quartic equation. References added. 31 pages. To appear in JHEP