局域视界与全息热力学：1/D展开中的过冷现象
Localised Horizons and Holographic Thermodynamics: Supercooling in the 1/D Expansion
AI总结：
该研究通过1/D展开推广引力对偶，分析非共形理论热禁闭相变的最大过冷度，其结果与标量势无关且符合多类模型计算，揭示了过冷度与声速的关系。
AI中文摘要：
在全息理论中，四维禁闭规范理论常通过选择特定形式的标量势，用五维爱因斯坦-标量引力建模。在一大类非共形理论中，我们通过将引力对偶推广到D+1维并利用1/D展开，证明了热禁闭相变出现可预测结构，该结果与标量势的具体细节无关，暗示了普适性。退禁闭相对偶的黑膜几何可解析构造，因其效应在领头阶局域于视界附近。该解在低于最小温度T_min时不存在，相变中最大可能过冷度ε_sc=1-T_min/T_c通常被1/D²因子抑制。值得注意的是，领头阶最大过冷度由临界温度下规范理论退禁闭相中的声速决定，即ε_sc=c_s²(T_c)/2。这些预测与指数超势、改进全息理论及球面上N=4超杨-米尔斯的热相变中的显式计算一致。
英文摘要：
In holography, four-dimensional confining gauge theories are often modelled by five-dimensional Einstein--scalar gravity by choosing a specific form of the scalar potential. In a large class of non-conformal theories, we show that a predictive structure emerges for the thermal confinement transition by generalising the gravitational dual to $D+1$ dimensions and using a $1/D$ expansion. These results are independent of the details of the scalar potential, hinting towards universality. The black brane geometry dual to the deconfined phase can be analytically constructed due to its effects being localised near the horizon at leading order. The solution does not exist below a minimal temperature $T_{\rm min}$ and the maximum possible supercooling in the transition $ε_{\rm sc} = 1-T_{\rm min}/T_{\rm c}$ is generically suppressed by a factor of $1/D^2$. Remarkably, the maximum supercooling at the leading order is set by the speed of sound in the deconfined phase of the gauge theory at the critical temperature, $ε_{\rm sc}=c_s^2(T_{\rm c})/2$. These predictions agree with explicit calculations in an exponential superpotential, improved holography, and the thermal transition in $\mathcal{N}=4$ super Yang--Mills on a sphere.
