Born-Infeld Theory and Stringy Causality
Born-Infeld Theory and Stringy Causality
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Born-Infeld 理论和弦因果关系
DOI：
10.1103/physrevd.63.064006
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发表时间：
2000
期刊：
影响因子：
--
通讯作者：
C.A.R.Herdeiro
中科院分区：
文献类型：
--
作者：
G.W.Gibbons;C.A.R.Herdeiro
围绕玻恩-因菲尔德理论非平凡解的涨落有一个极限速度，它不是由爱因斯坦度规给出的，而是由波伊拉度规给出的。Boillat度规是s对偶不变的，与开弦度规共形。它也支配着玻恩-因菲尔德理论中标量和旋量的传播。我们讨论了由闭弦和开弦光锥决定的因果关系之间的潜在冲突，并发现后者从不位于前者之外。两个锥沿背景玻恩-因菲尔德场的主零方向接触。我们考虑了在体积和膜之间的区别不明显的情况下的黑洞解，如空间填充膜，并发现事件视界的位置和热力学性质并不取决于是否使用闭弦或开弦度量。类似的陈述也适用于更一般的非线性电动力学或有效量子校正度量。我们展示了如何从Kaluza-Klein理论的高曲率引力中获得二阶玻恩-因菲尔德作用。最后，我们指出了与爱因斯坦-薛定谔理论的一些有趣的类比。
Fluctuations around a non-trivial solution of Born-Infeld theory have a limiting speed given not by the Einstein metric but the Boillat metric. The Boillat metric is S-duality invariant and conformal to the open string metric. It also governs the propagation of scalars and spinors in Born-Infeld theory. We discuss the potential clash between causality determined by the closed string and open string light cones and find that the latter never lie outside the former. Both cones touch along the principal null directions of the background Born-Infeld field. We consider black hole solutions in situations in which the distinction between bulk and brane is not sharp such as space-filling branes and find that the location of the event horizon and the thermodynamic properties do not depend on whether one uses the closed or open string metric. Analogous statements hold in the more general context of non-linear electrodynamics or effective quantum-corrected metrics. We show how Born-Infeld action to second order might be obtained from higher-curvature gravity in Kaluza-Klein theory. Finally we point out some intriguing analogies with Einstein-Schr¨odinger theory.
DOI：
10.1017/9781009253161
发表时间：
2023-02
期刊：
--
影响因子：
--
作者：
S. Hawking;G. Ellis
通讯作者：
S. Hawking;G. Ellis