论文标题
QNEC2在变形全息CFT中
QNEC2 in deformed holographic CFTs
论文作者
论文摘要
我们将量子无效的能量条件在强烈耦合的二维场理论（QNEC2）中用作诊断工具，以研究各种相结构，包括交叉，二阶和一阶相变。我们发现具有扭结纠缠熵的一阶相变的通用QNEC2约束，并一般讨论了cnec2-inequality和casini-huerta c unction的QNEC2-inequality和单调性之间的关系。然后，我们专注于一个特定的例子，即其全息双重二重性偶性以三维爱因斯坦重力以及一个自由相互作用潜力中一个自由参数的巨大标量场进行建模。我们研究翻译不变的固定状态对域壁和黑色麸皮的双重状态。根据自由参数的值，我们发现了此类状态之间的交叉，二阶和一阶相变，而C函数在红外线中流向零或有限值。令人惊讶的是，评估基态溶液的QNEC2可以预测有限温度下的相变存在。
We use the quantum null energy condition in strongly coupled two-dimensional field theories (QNEC2) as diagnostic tool to study a variety of phase structures, including crossover, second and first order phase transitions. We find a universal QNEC2 constraint for first order phase transitions with kinked entanglement entropy and discuss in general the relation between the QNEC2-inequality and monotonicity of the Casini-Huerta c-function. We then focus on a specific example, the holographic dual of which is modelled by three-dimensional Einstein gravity plus a massive scalar field with one free parameter in the self-interaction potential. We study translation invariant stationary states dual to domain walls and black branes. Depending on the value of the free parameter we find crossover, second and first order phase transitions between such states, and the c-function either flows to zero or to a finite value in the infrared. Strikingly, evaluating QNEC2 for ground state solutions allows to predict the existence of phase transitions at finite temperature.
