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arXiv 2406.08309hep-th
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无标度引力理论中的动力学洛伦兹对称性破缺

Dynamical Lorentz Symmetry Breaking in a Scale-free Theory of Gravity

A. C. Lehum, J. R. Nascimento, A. Yu. Petrov, P. J. Porfírio

AI总结:

研究与 bumblebee 场耦合的无标度二次引力,通过单圈重整化和有效势计算证明 Coleman-Weinberg 机制诱发非零 VEV,导致洛伦兹破缺并自发生成 Einstein-Hilbert 项。

摘要:

本文探讨了与 bumblebee 场耦合的无标度二次引力的重整化,及其动力学破缺洛伦兹对称性的可能性。我们对该模型进行单圈重整化,并计算相关的重整化群函数。此外,我们计算了 bumblebee 场的单圈有效势,证明其通过辐射修正获得非平凡真空期望值(VEV)——这一现象被称为 Coleman-Weinberg 机制。这种由 bumblebee 场非零 VEV 驱动的标度不变性自发破缺导致洛伦兹对称性破缺。因此,bumblebee 场与引力场之间的非最小耦合通过辐射修正自发产生 Einstein-Hilbert 项,表明 Planck 标度与洛伦兹破缺现象之间可能存在联系。

英文摘要:

This paper explores the renormalization of scale-free quadratic gravity coupled to the bumblebee field and its potential for dynamically breaking Lorentz symmetry. We conduct one-loop renormalization of the model and calculate the associated renormalization group functions. Furthermore, we compute the one-loop effective potential for the bumblebee field, demonstrating that it acquires a non-trivial vacuum expectation value (VEV) through radiative corrections -- a phenomenon known as the Coleman-Weinberg mechanism. This spontaneous breaking of scale invariance, driven by the non-zero VEV of the bumblebee field, leads to Lorentz symmetry violation. As a result, the non-minimal coupling between the bumblebee and gravitational fields induces a spontaneous generation of an Einstein-Hilbert term via radiative corrections, suggesting a possible link between the Planck scale and Lorentz violation phenomena.

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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