标量高斯-博内虫洞与虚距离界
Scalar Gauss-Bonnet Wormholes and the Imaginary Distance Bound
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中文总结 AI 辅助
本文研究标量场线性耦合高斯-博内不变量的四维欧几里得虫洞，发现非零耦合下虫洞为满足KSW判据的复鞍点，大喉径极限下虚距离阈值不变，但标量位移因对数跑动被修正并向上偏移，决定重整化固定电荷作用量的领头大电荷行为。
中文摘要 AI 辅助
我们研究了四维引力中具有无质量标量场线性耦合到高斯-博内不变量的$O(4)$对称欧几里得虫洞。在非零耦合下，爱因斯坦虫洞成为一个正则复鞍点，满足孔采维奇-西格尔-维滕判据，直到其分支在有限耦合处终止。在渐近平坦空间中，高斯-博内项修改了有限虫洞的标量位移和壳上作用量，但两者的尺寸依赖部分在大喉径极限下消失。因此，原始的虚距离阈值保持不变。负宇宙学常数已经使爱因斯坦大喉径虚距离相对于其平坦空间值降低。当高斯-博内耦合也存在时，标量不再是模量，因为它发展出对数跑动且其轨迹具有无限长度。减去对数渐近行为后留下一个有限的正则化位移。其大喉径值因高斯-博内相互作用而从爱因斯坦AdS结果向上偏移，并决定了重整化固定电荷作用量的领头大电荷行为。
英文摘要
We study $O(4)$ symmetric Euclidean wormholes in four-dimensional gravity with a massless scalar linearly coupled to the Gauss-Bonnet invariant. At nonzero coupling, the Einstein wormhole becomes a regular complex saddle that satisfies the Kontsevich-Segal-Witten criterion until its branch ends at a finite coupling. In asymptotically flat space, the Gauss-Bonnet term modifies the scalar displacement and the on-shell action for finite wormholes, but the size dependent parts of both corrections vanish in the large throat limit. The original imaginary distance threshold therefore remains unchanged. A negative cosmological constant already lowers the Einstein large throat imaginary distance relative to its flat space value. When the Gauss-Bonnet coupling is also present, the scalar is no longer a modulus as it develops a logarithmic running and its trajectory has infinite length. Subtracting the logarithmic asymptotic behavior leaves a finite regulated displacement. Its large throat value is shifted upward from the Einstein AdS result by the Gauss-Bonnet interaction and determines the leading large charge behavior of the renormalized fixed charge action.
发表机构
- National Technical University of Athens（雅典国立技术大学）
- Department of Theoretical Physics and Gravitational Wave Science Center, 24 quai E. Ansermet, CH-1211 Geneva 4, Switzerland（日内瓦大学理论物理系与引力波科学中心）
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