标题： 规范耦合跃迁和大非最小耦合中的小瞬子 显示英文标题

标题： Gauge coupling jump and small instantons from a large non-minimal coupling

摘要： 如果标量场与里奇标量以大非最小耦合方式耦合，由于不可重整化性，在标量的中间场范围内，标准模型耦合参数在上下两侧可能会有所不同。在本文中，我们首次研究了引力的度规和Palatini形式中的规范耦合的阈值效应。我们发现，由于重整化所需的抵消项行为如此，规范耦合自然会在这一中间尺度附近跳跃。如果由于这种效应，规范耦合在大标量场值时变得很强，那么可能会有增强的小瞬子贡献，其稀薄气体近似是合理的，因为当标量波模式非常短时，规范场会解耦。利用这些发现，我们讨论了QCD轴子的质量问题、重QCD轴子、QCD轴子的丰度以及等曲率扰动的抑制。我们表明，当我们为任何标量场引入大非最小耦合时，轴子物理可能与天真预期有显著不同。 显示英文摘要

摘要： If a scalar field couples to the Ricci scalar with a large non-minimal coupling, the Standard Model coupling parameters can differ above and below an intermediate field range of the scalar due to the non-renormalizability. In this paper, we study, for the first time, the threshold effects on a gauge coupling in both Metric and Palatini formulations of gravity. We find that the gauge coupling naturally jumps around this intermediate scale since counter terms for the renormalization behave so. If the gauge coupling becomes strong with a large scalar field value due to this effect, there can be an enhanced small instanton contribution, the dilute gas approximation of which is justified because the gauge sector decouples when the scalar wave mode is very short. Using these findings, we discuss the QCD axion quality problem, the heavy QCD axion, the QCD axion abundance, and the suppression of isocurvature perturbations. We show that axion physics may differ substantially from na\"{i}ve expectations when we introduce a large non-minimal coupling for any scalar field.