论文标题
自相互作用矢量场的内在病理
The intrinsic pathology of self-interacting vector fields
论文作者
论文摘要
我们表明,即使不耦合到任何外部领域,自我互动矢量场理论也会表现出非物理行为。这意味着任何具有此类媒介的理论都有非物理的危险,这是宇宙学,重力,高能量物理及其他许多建议的令人震惊的前景。当具有健康构型的矢量场自然达到时间演化是数学不确定的点时,就会出现问题。我们开发了轻松识别此问题的工具,并提供了一个简单而统一的框架来调查它。
We show that self-interacting vector field theories exhibit unphysical behaviour even when they are not coupled to any external field. This means any theory featuring such vectors is in danger of being unphysical, an alarming prospect for many proposals in cosmology, gravity, high energy physics and beyond. The problem arises when vector fields with healthy configurations naturally reach a point where time evolution is mathematically ill-defined. We develop tools to easily identify this issue, and provide a simple and unifying framework to investigate it.