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arXiv 0903.2279gr-qc
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引力洛仑兹对称破缺的矢量模型

Vector models of gravitational Lorentz symmetry breaking

Michael D. Seifert

摘要:

当张量场的动力学使其在真空中呈现非零期望值时,自发洛伦兹对称性破缺就会发生,从而在时空中提供一个或多个“优选方向”。这样的场和时空曲率之间的耦合将影响度规的动力学,导致有趣的引力效应。Bailey和Kostelecky发展了一种后牛顿形式主义,在关于场的耦合和应力能量的某些条件下,允许在洛伦兹对称性破缺的情况下分析引力效应。我们进行了系统的调查矢量模型的自发洛伦兹对称性破缺。我们发现,一类两个参数的矢量模型,那些与动力学项,我们称之为“伪麦克斯韦”,可以成功地分析下的Bailey-Kostelecky形式主义,这两个“尺寸”在参数空间中的一个尚未被探索作为一个可能的机制自发洛伦兹对称性破缺。

英文摘要:

Spontaneous Lorentz symmetry breaking can occur when the dynamics of a tensor field cause it to take on a non-zero expectation value in vacuo, thereby providing one or more "preferred directions" in spacetime. Couplings between such fields and spacetime curvature will then affect the dynamics of the metric, leading to interesting gravitational effects. Bailey & Kostelecky developed a post-Newtonian formalism that, under certain conditions concerning the field's couplings and stress-energy, allows for the analysis of gravitational effects in the presence of Lorentz symmetry breaking. We perform a systematic survey of vector models of spontaneous Lorentz symmetry breaking. We find that a two-parameter class of vector models, those with kinetic terms we call "pseudo-Maxwell," can be successfully analyzed under the Bailey-Kostelecky formalism, and that one of these two "dimensions" in parameter space has not yet been explored as a possible mechanism of spontaneous Lorentz symmetry breaking.

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