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arXiv 1105.4209hep-phhep-th
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量子场论之间的距离作为洛伦兹破坏的度量

Distance Between Quantum Field Theories As A Measure Of Lorentz Violation

Damiano Anselmi, Dario Buttazzo

摘要:

本文研究了对称性破坏的量子场论与对称性理论表面之间的距离。我们用这个概念来量化洛仑兹对称性的精确程度,根据实验数据。参数空间中的度规定义为La Zamolodchikov,从拉格朗日摄动的两点函数。该距离是通过最小化连接洛伦兹破坏理论到洛伦兹曲面的路径长度而得到的。这个定义取决于用于制定理论的拉格朗日量,包括总导数和坐标系的选择。我们消除这种依赖关系,最小化关于他们。我们推导出一些一般公式,并评估的CPT不变,QED子部门的标准模型扩展(SME)和可重正化的高能量洛伦兹违反标准模型的距离。我们研究的距离和地址的一些应用程序的属性。

英文摘要:

We study the distance between symmetry-violating quantum field theories and the surface of symmetric theories. We use this notion to quantify how precise Lorentz symmetry is today, according to experimental data. The metric in parameter space is defined à la Zamolodchikov, from the two-point function of the Lagrangian perturbation. The distance is obtained minimizing the length of paths connecting the Lorentz-violating theory to the Lorentz surface. This definition depends on the Lagrangian used to formulate the theory, including total derivatives and the choice of coordinate frame. We eliminate such dependencies minimizing with respect to them. We derive a number of general formulas and evaluate the distance in the CPT-invariant, QED subsectors of the Standard Model Extension (SME) and the renormalizable high-energy-Lorentz-violating Standard Model. We study the properties of the distance and address a number of applications.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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