大维度离散自相似坍缩中的Polyakov反作用
Polyakov backreaction in large D discretely self-similar collapse
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中文总结 AI 辅助
本文研究大维度下离散自相似坍缩中Polyakov反常反作用，发现其不产生通用光滑精确自相似完备化，而匹配外部需选择高曲率喉部。
中文摘要 AI 辅助
我们研究了在大时空维度下，爱因斯坦-克莱因-戈登理论的一族解析离散自相似解上的反常诱导半经典反作用。视界正则性固定了一个零坐标Floquet指数，并选择了一个唯一的正则量子态。Polyakov辅助场是仿射周期而非周期的，其单值性由全局零模条件和共形坐标缩放独立决定。球面约化引入了一个向中心增长的量子耦合，因此周期一阶展开是非均匀的。我们构造了由此产生的非线性内部问题，并找到了一个临界伸缩子表面。该表面的一般穿越是奇异的，而与正则零质量外部的匹配则选择了一个狭窄的高曲率喉部。反常还将有效零能量边界与经典物质通量和零曲率曲线分离开来。这些结果表明，最小耦合的Polyakov模型不会产生经典中心的通用光滑、精确自相似完备化。
英文摘要
We study anomaly-induced semiclassical backreaction on an analytic family of discretely self-similar solutions of Einstein--Klein--Gordon theory at large spacetime dimension. Horizon regularity fixes a null-coordinate Floquet exponent and selects a unique regular quantum state. The Polyakov auxiliary field is affine-periodic rather than periodic, with a monodromy that is determined independently by a global zero-mode condition and by the conformal-coordinate scaling. Spherical reduction introduces a quantum coupling that grows toward the center, so the periodic first-order expansion is nonuniform. We construct the resulting nonlinear inner problem and find a critical dilaton surface. Generic crossings of this surface are singular, whereas matching to the regular zero-mass exterior selects a narrow, high-curvature throat. The anomaly also separates the effective null-energy boundaries from the classical matter flux and zero-curvature curves. These results show that the minimally coupled Polyakov model does not yield a generic smooth, exactly self-similar completion of the classical center.
发表机构
- Chung Yuan Christian University（中原大学）
机构由 AI 辅助整理，请以论文原文为准。
