论文标题
在liouville理论的S-Matrix上
On the S-matrix of Liouville theory
论文作者
论文摘要
圆柱体上liouville理论的每个手性领域的S-矩阵是根据具有非本地动能和指数潜力的圆上的一维场理论的相关函数的循环扩展计算的。该动作是半经典散射幅度的生成函数的传统变换。它源自渐近场和外场之间的关系。通过将从此动作计算的显式环图与计算S-Matrix计算的其他方法进行比较，它与量子散射过程相关。
The S-matrix for each chiral sector of Liouville theory on a cylinder is computed from the loop expansion of correlation functions of a one-dimensional field theory on a circle with a non-local kinetic energy and an exponential potential. This action is the Legendre transform of the generating function of semiclassical scattering amplitudes. It is derived from the relation between asymptotic in- and out-fields. Its relevance for the quantum scattering process is demonstrated by comparing explicit loop diagrams computed from this action with other methods of computing the S-matrix, which are also developed.
