论文标题
非质量CFT和非本地Riemann-Hilbert问题的无量化CFT和渐近学问题的大偏差
Large deviations of energy transfers in nonequilibrium CFT and asymptotics of non-local Riemann-Hilbert problems
论文作者
论文摘要
一类$ 1+1 $的$ 1 $尺寸统一形式的场理论可以明确构造非平衡的“配置文件状态”，在左侧和右侧的不同平衡之间平稳地插值。最近已经确定，在这种状态中，可以通过解决非本地riemann-hilbert问题的解决方案来表达这种状态中能量转移的全部计数统计的生成函数。遵循早期的能源传输统计数据，特别是在保形场理论中的“分区方案”上的伯纳德·道源（Bernard-Doyon）的统计数据，构想状态中能量传输的完整计数统计量被推测以满足长传输时间极限的大偏差原则。本文通过对基本非本地riemann-Hilbert问题进行长期渐近分析来严格地建立了这种猜想。
A wide class of $1+1$ dimensional unitary conformal field theories allows for an explicit construction of nonequilibrium "profile states" interpolating smoothly between different equilibria on the left and on the right. It has been recently established that the generating function for the full counting statistics of energy transfers in such states may be expressed in terms of the solution to a non-local Riemann-Hilbert problem. Following earlier works on the statistics of energy transfers, in particular the ones of Bernard-Doyon on the "partitioning protocol" in conformal field theory, the full counting statistics of energy transfers in the profile states was conjectured to satisfy a large deviation principle in the limit of long transfer-times. The present paper establishes rigorously this conjecture by carrying out the long-time asymptotic analysis of the underlying non-local Riemann-Hilbert problem.
