发表机构
University of Waterloo; Perimeter Institute for Theoretical Physics（滑铁卢大学; 理论物理前沿研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究在三维爱因斯坦-高斯-邦内引力中构造磁孤子，通过匹配边界条件计算重整化作用量差，揭示黑洞与孤子分支的相变行为及共存曲线端点特征。
AI 中文摘要
我们通过双重Wick旋转三维爱因斯坦-高斯-邦内引力中的静态带电黑洞，构造了一个磁孤子。在所选边界条件下，我们匹配了边界度规和麦克斯韦源，并计算了重整化欧几里得作用量的差值。由于麦克斯韦势在无穷远处对数增长，所选的有限麦克斯韦边界项同时改变了固定的麦克斯韦源和重整化作用量。在$\Delta I^{(c_{\mathrm{fin}})}$中，孤子和黑洞的电荷贡献均以正号出现。对于巨正则边界条件$c_{\mathrm{fin}}=1$，黑洞分支和孤子分支可以以不同斜率相交。对于下文所考虑的示例，满足响应条件的黑洞分支终止于最大温度，且共存曲线在空间麦克斯韦源的两个相反值处具有$T\to0^+$端点。在非极值交叉处，熵差为$S_b-S_s=S_b$。对于这两个静态解，两个电流分量的相等要求两个电荷均消失。
英文摘要
We construct a magnetic soliton by double Wick rotating the static electrically charged black hole in three-dimensional Einstein--Gauss--Bonnet gravity. We match the boundary metrics and Maxwell sources under the chosen boundary condition and compute the difference of the renormalized Euclidean actions. Because the Maxwell potential grows logarithmically at infinity, the chosen finite Maxwell boundary term changes both the fixed Maxwell source and the renormalized action. The charge contributions for both the soliton and the black hole appear with plus signs in $ΔI^{(c_{\mathrm{fin}})}$. For the grand-canonical boundary condition $c_{\mathrm{fin}}=1$, the black-hole and soliton branches can cross with different slopes. For the example considered below, the black-hole branch satisfying the response conditions ends at a maximum temperature, and the coexistence curve has a $T\to0^+$ endpoint at two opposite values of the spatial Maxwell source. At a nonextremal crossing, the entropy difference is $S_b-S_s=S_b$. For these two static solutions, equality of both current components requires both charges to vanish.
Comments17 pages, 1 figure
