爱因斯坦-爱因斯坦体系中的热功率项
Thermal power terms in the Einstein-dilaton system
摘要：
我们采用规范/弦对偶研究规范理论中各种热力学量的热功率项和解除禁闭相变以上的重整化Polyakov圈。我们把自己限制在五维爱因斯坦引力耦合到一个单一的标量，量子。利用系统在一般玻色子势下的渐近解，研究了各物理量的功率贡献。如果幂函数与4维运算符${\rm Tr} F_{μν}^2$是对偶的，则不会生成幂校正。然后，热量接近其渐近值更快地比在晶格模拟中观察到的。当对偶算子的维数不等于4时，会产生各种幂项。最低的功率贡献的热量总是二次的，而Polyakov回路的线性。因此，在晶格模拟中观察到的迹线异常和Polyakov回路的逆温度中的二次项不能在系统中一致地实现。这是根据场论的期望，没有规范不变的运营商可以容纳这样的贡献。本文详细研究了两个简单的模型，其中的子是不同维数的算子的对偶。
英文摘要：
We employ the gauge/string duality to study the thermal power terms of various thermodynamic quantities in gauge theories and the renormalized Polyakov loop above the deconfinement phase transition. We restrict ourselves to the five-dimensional Einstein gravity coupled to a single scalar, the dilaton. The asymptotic solutions of the system for a general dilaton potential are employed to study the power contributions of various quantities. If the dilaton is dual to the dimension-4 operator ${\rm Tr} F_{μν}^2$, no power corrections would be generated. Then the thermal quantities approach their asymptotic values much more quickly than those observed in lattice simulation. When the dimension of the dual operator is different from 4, various power terms are generated. The lowest power contributions to the thermal quantities are always quadratic in the dilaton, while that of the Polyakov loop is linear. As a result, the quadratic terms in inverse temperature for both the trace anomaly and the Polyakov loop, observed in lattice simulation, cannot be implemented consistently in the system. This is in accordance with the field theory expectation, where no gauge-invariant operator can accommodate such contributions. Two simple models, where the dilaton is dual to operators with different dimensions, are studied in detail to clarify the conclusion.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
