论文标题
量子重力中全球单孔的麻烦
Troubles with Global Monopoles in Quantum Gravity
论文作者
论文摘要
具有全球$ o(3)$对称性的理论按比例$η$打破了拓扑配置:围绕虚假真空核心的戈德石田(Goldstone Fields)实现的全球单极。人们可能会期望他们表现为重型,大复合物体,难以制造,因此大多是无害的。但是,只要等效原理都打开重力后,人们就会发现全球单极具有负质量,$ m \ sim-η/\sqrtλ$,其中$λ$是场理论耦合。这可以通过产生其他全局单键 - 抗抗烷对以及正常颗粒,从而催化全局单极的不稳定,如果这对能量由负静止质量支配,则可以导致能量产生{\ it Ab nihilo}。在具有不间断的当地庞加莱对称性的理论中,这可能会导致全球单极配置的不同“衰减率”。
A theory with a global $O(3)$ symmetry broken at a scale $η$ admits topological configurations: global monopoles realized by Goldstone fields winding around the core of false vacuum. One may expect them to behave as heavy, big composite objects, difficult to make and therefore mostly harmless. However, after gravity is turned on, as long as Equivalence Principle holds, one finds that global monopoles have a negative mass, $M \sim - η/\sqrtλ$, where $λ$ is the field theory coupling. This could catalyze an instability in the space of a global monopole, by the production of additional global monopole-antimonopole pairs along with normal particles, leading to energy production {\it ab nihilo}, if the pair energy is dominated by their negative rest masses. In a theory with unbroken local Poincaré symmetry, this could lead to a divergent `decay rate' of the global monopole configurations.