AI 中文总结
该研究利用弦/场论对偶，结合世界面半经典量子化与靶空间低能有效方法，计算了旋转带电强耦合平面规范理论的哈格多恩温度，给出不同维度模型的结果并捕捉到关键次次领头阶项。
AI 中文摘要
我们利用弦/场论对偶作为工具，研究强耦合平面规范理论的哈格多恩温度对角速度和U(1)整体流化学势的依赖关系。研究结果来自世界面半经典量子化方法与靶空间低能有效方法的结合。哈格多恩温度以大't Hooft耦合极限的倒数展开形式给出，在涨落的二阶近似下，世界面分析给出了领头阶、次领头阶以及部分次次领头阶项，特别是它捕捉到了次次领头阶的log2项，该项源于非零模式对零点能的贡献，这些模式是有效方法未考虑的，需通过合理的猜测手动纳入。另一方面，有效方法能相对简便地计算缺失的次次领头阶项（乃至更低阶修正），而这些项仅能通过世界面方法在涨落的四阶（或更高阶）近似下得到。我们给出了一般结果及不同维度的多个例子，包括禁闭模型和球面上的共形场论，如对偶于全局AdS空间上弦理论的N=4 SYM和ABJM。
英文摘要
Using the string/field theory correspondence as a tool, we study the dependence of the Hagedorn temperature of strongly coupled, planar gauge theories on angular velocities and chemical potentials for $U(1)$ global currents. Our results are obtained from an interplay of world-sheet semiclassical quantization methods and target space low energy effective ones. The Hagedorn temperature is given as an expansion in the inverse (large) 't Hooft coupling limit. Working to quadratic order in the fluctuations, the world-sheet analysis provides the leading, the next-to-leading and part of the next-to-next-to leading order terms. In particular, it captures the NNLO $\log 2$ terms which are due to the contributions of non-zero modes to the zero-point energy. These modes are not accounted for by the effective approach, within which they have to be included by hand using suitable educated guesses. On the other hand, the effective methods allow to compute in a relatively easy way the missing NNLO pieces (and even further subleading corrections), which could be accounted for from the world-sheet approach only working at quartic (or higher) order in the fluctuations. We present general results and several examples in various dimensions, including both confining models and conformal field theories on spheres (such as $\mathcal N=4$ SYM and ABJM) dual to string theories on global $AdS$ spaces.
CommentsLaTeX, 51 pages, 1 table;
