论文标题
非局部形成场理论
Nonlocal Conformal Field Theory
论文作者
论文摘要
使用最近开发的分数Virasoro代数概念，我们探讨了非局部保形场理论中隐含的操作员产品的扩展及其几何含义。我们探究了在功能分析意义上的经典非局部性与在二维环境中的量化之间的相互作用，并发现非局部量子动力学意识到了仅具有状态依赖性中心电荷的分数Virasoro代数。值得注意的是，我们证明，具有分数拉普拉斯动力学项的广泛研究的自由高斯固定点不符合该标准，但RG流动与非高斯固定点相关。
Using the recently developed notion of a fractional Virasoro algebra, we explore the implied operator product expansions in nonlocal conformal field theories and their geometric meaning. We probe the interplay between classical nonlocality in the functional-analytic sense and quantization in a two-dimensional setting and find that nonlocal quantum dynamics realize this fractional Virasoro algebra exclusively with a state dependent central charge. Notably, we prove that the widely studied free Gaussian fixed points with a fractional Laplacian kinetic term does not fit this criterion but that the RG flow associated non-Gaussian fixed points do.
