arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0905.0031hep-phastro-ph.COastro-ph.HEgr-qchep-th
收藏

任意维Lorentz破坏算符的电动力学

Electrodynamics with Lorentz-violating operators of arbitrary dimension

Alan Kostelecky, Matthew Mewes

摘要:

研究了光子在Lorentz和CPT破坏下的行为。允许运营商的任意质量尺寸,我们分类所有规范不变的洛伦兹和CPT违反条款的平方拉格朗日密度与有效光子传播。得到了协变色散关系,并讨论了双折射的条件。我们提供了一个完整的表征的系数洛伦兹违反所有质量尺寸通过分解使用自旋加权球谐函数。由此产生的九组独立的球面系数控制双折射、色散和各向异性。我们讨论的一般理论的限制,各种特殊的模型,其中包括最小的标准模型扩展,各向同性的限制,真空传播的情况下,非双折射的限制,和真空正交模型。给出了实验室坐标系与标准日心坐标系之间洛伦兹破坏球系数的变换。我们将结果应用于各种天体物理观测和实验室实验。天体物理学的相关研究包括双折射和色散的研究。我们使用偏振和色散数据从伽马射线暴的洛伦兹违反涉及运营商的维度4至9的系数设置约束,我们描述了混合的极化诱导的洛伦兹和CPT违反的宇宙微波背景。感兴趣的实验室搜索包括空腔实验。我们提出的理论与腔搜索,推导出实验依赖的真空正交模型中的系数的因素,并预测相应的频率偏移的圆柱形腔。

英文摘要:

The behavior of photons in the presence of Lorentz and CPT violation is studied. Allowing for operators of arbitrary mass dimension, we classify all gauge-invariant Lorentz- and CPT-violating terms in the quadratic Lagrange density associated with the effective photon propagator. The covariant dispersion relation is obtained, and conditions for birefringence are discussed. We provide a complete characterization of the coefficients for Lorentz violation for all mass dimensions via a decomposition using spin-weighted spherical harmonics. The resulting nine independent sets of spherical coefficients control birefringence, dispersion, and anisotropy. We discuss the restriction of the general theory to various special models, including among others the minimal Standard-Model Extension, the isotropic limit, the case of vacuum propagation, the nonbirefringent limit, and the vacuum-orthogonal model. The transformation of the spherical coefficients for Lorentz violation between the laboratory frame and the standard Sun-centered frame is provided. We apply the results to various astrophysical observations and laboratory experiments. Astrophysical searches of relevance include studies of birefringence and of dispersion. We use polarimetric and dispersive data from gamma-ray bursts to set constraints on coefficients for Lorentz violation involving operators of dimensions four through nine, and we describe the mixing of polarizations induced by Lorentz and CPT violation in the cosmic-microwave background. Laboratory searches of interest include cavity experiments. We present the theory for searches with cavities, derive the experiment-dependent factors for coefficients in the vacuum-orthogonal model, and predict the corresponding frequency shift for a circular-cylindrical cavity.

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。

↑