论文标题

重力Coleman-Weinberg机制

Gravitational Coleman-Weinberg Mechanism

论文作者

Álvarez-Luna, Clara, de la Calle-Leal, Sergio, Cembranos, José A. R., Sanz-Cillero, Juan José

论文摘要

Coleman-Weinberg机制提供了一个程序,通过该程序,由于比例对称性的异常性质,标量最初没有质量参数的标量场获得了质量。循环校正会触发自发对称性破裂和非平凡真空的外观。我们首先回顾了Colemanweinberg机制,标量量子电动力学的基本示例,在扰动性方面,标量粒子通过光子环变得巨大。然后,我们介绍了本文的主要结果,即我们将重力Coleman-Weinberg机制命名的:我们在不明确的能量尺度的引力理论中分析了相同的效果。最后,我们还研究了上述引力理论中两个标量场的机制。我们将得出引力Coleman-Weinberg电位,分析我们具有对称性破裂的参数空间,并获得相应的标量质量的值。

The Coleman-Weinberg mechanism provides a procedure by which a scalar field, which initially has no mass parameters, acquires a mass due to the anomalous nature of scale symmetry. Loop corrections trigger a spontaneous symmetry breaking and the appearance of a non-trivial vacuum. We first review the basic example of the ColemanWeinberg mechanism, scalar Quantum Electrodynamics, in a perturbative regime where the scalar particle becomes massive through photon loops. We then present the main results of this article, what we name the gravitational Coleman-Weinberg mechanism: we analyse the same effect in a gravitational theory without explicit energy scales at tree-level. Finally, we also study the mechanism for two scalar fields in the mentioned gravitational theory. We will derive the gravitational Coleman-Weinberg potentials, analyse the parameter space where we have a symmetry breaking, and obtain the value of the corresponding scalar masses.

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