Conformal anomaly in the gravitationally coupled magnetic monopole and vacua effects under external conditions

我们将量子场论的技术应用于各种外部条件下的不同物理系统。我们的第一个系统由一个Georgi-Pasthow模型（由三重标量场和SO（3）非阿贝尔规范场组成）共形耦合到引力。我们在以前的工作中已经表明，在渐近Anti-de Sitter（AdS）时空中的磁引力解存在于这个系统中。在这个建议中，我们打破了共形对称加入量子物质修正的作用，导致共形异常。我们的初步分析表明，爱因斯坦-希尔伯特项（广义相对论），宇宙学常数和大量的标量，这并没有出现在原来的行动，出现后的非平凡的真空和主导的低能量或长距离区的行动扩展。共形反常固定了尺度，我们预计引力常数G、宇宙学常数和标量的质量可以用理论的参数来表示。

We apply the techniques of quantum field theory to different physical systems under various external conditions. Our first system consists of a Georgi-Glashow model (composed of a triplet of scalar fields and SO(3) non-Abelian gauge fields) conformally coupled to gravity. We have already shown in a previous work that magnetic monopole solutions in asymptotically Anti-de Sitter (AdS) spacetime exist in this system. In this proposal we break the conformal symmetry by adding quantum matter corrections to the action leading to the conformal anomaly. Our preliminary analysis shows that an Einstein-Hilbert term (General Relativity), a cosmological constant and massive scalars, which do not appear in the original action, emerge after an expansion of the action about the non-trivial vacuum and dominate the low energy or long distance regime. The conformal anomaly fixes the scale and we anticipate that the gravitational constant G, the cosmological constant and the mass of the scalars can be expressed in terms of the parameters of the theory.