论文标题
确切的重新归一化组和措施的运输
Exact renormalization groups and transportation of measures
论文作者
论文摘要
本说明通过解释了如何通过多尺度的bakry-émery标准来解释它如何产生，从而为Lipschitz在高斯自由领域之间的运输图以及相互作用的量子和统计场理论之间的运输图提供了新的观点。因此，对于后一种现场理论，可以验证许多功能性不平等，超出了当前已知结果。
This note provides a new perspective on Polchinski's exact renormalization group, by explaining how it gives rise, via the multiscale Bakry-Émery criterion, to Lipschitz transport maps between Gaussian free fields and interacting quantum and statistical field theories. Consequently, many functional inequalities can be verified for the latter field theories, going beyond the current known results.
