论文标题
二维Maxwell理论的精确$ t \ Overline {t} $变形
Exact $T\overline{T}$ deformation of two-dimensional Maxwell theory
论文作者
论文摘要
$ T \ Overline {t} $ - 考虑到变形参数$μ$中的非扰动效应，检查了圆环上的二维量子麦克斯韦理论。我们研究了在单个通量扇区级别上求解相关流动方程的变形分区函数。总结为“ Instanton”系列，我们获得了以任意$μ$的分区函数定义明确的表达式。对于$μ> 0 $，该理论的量子频谱经历了截断，分区函数将其降低到一组有限的阳性能量状态。对于$μ<0 $，$μ$中的非驱动贡献的外观会大大修改分区功能的结构，从而通过类似激体顿的减法来规范其天真差异。对于每个通量部门，我们表明半经典贡献由变形的经典作用主导。观察到该理论与$μ$的某些值进行了无限级相变，与Polyakov-loop相关器的消失有关。
$T\overline{T}$-deformed two-dimensional quantum Maxwell theory on the torus is examined, taking into account nonperturbative effects in the deformation parameter $μ$. We study the deformed partition function solving the relevant flow equation at the level of individual flux sectors. Summing exactly the "instanton" series, we obtain a well-defined expression for the partition function at arbitrary $μ$. For $μ>0$, the quantum spectrum of the theory experiences a truncation, the partition function reducing to a sum over a finite set of positive-energy states. For $μ<0$ instead, the appearance of nonperturbative contributions in $μ$ drastically modifies the structure of the partition function, regularizing its naive divergences through instanton-like subtractions. For each flux sector, we show that the semiclassical contribution is dominated by the deformed classical action. The theory is observed to undergo infinite-order phase transitions for certain values of $μ$, associated with the vanishing of Polyakov-loop correlators.
