arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1310.7878hep-thgr-qc
收藏

AdS空间中辐射诱导对称破缺与共形耦合磁场

Radiatively induced symmetry breaking and the conformally coupled magnetic monopole in AdS space

Ariel Edery, Noah Graham

摘要:

我们在包含引力的经典共形不变理论中实现了对磁共振的量子修正。这产生了迹(共形)异常,并通过重整化过程以自然的方式引入了长度尺度。我们计算了单圈有效势,并从中提取真空期望值(VEV);辐射诱导了自发对称性破缺。VEV被设置在重整化尺度$M$,并且我们通过维度变换将无量纲标量耦合常数交换为有量纲VEV。渐近(背景)时空是反德西特时空(AdS),它的里奇标量完全由VEV决定。我们获得了一组耦合方程的解析渐近解,这些方程支配产生AdS时空中的磁引力场、规范场和标量场。

英文摘要:

We implement quantum corrections for a magnetic monopole in a classically conformally invariant theory containing gravity. This yields the trace (conformal) anomaly and introduces a length scale in a natural fashion via the process of renormalization. We evaluate the one-loop effective potential and extract the vacuum expectation value (VEV) from it; spontaneous symmetry breaking is radiatively induced. The VEV is set at the renormalization scale $M$ and we exchange the dimensionless scalar coupling constant for the dimensionful VEV via dimensional transmutation. The asymptotic (background) spacetime is anti-de Sitter (AdS) and its Ricci scalar is determined entirely by the VEV. We obtain analytical asymptotic solutions to the coupled set of equations governing gravitational, gauge and scalar fields that yield the magnetic monopole in an AdS spacetime.

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。

↑