标题： 集体场论的S矩阵 显示英文标题

标题： S matrix of collective field theory

摘要： 通过应用Lehmann-Symanzik-Zimmermann (LSZ)约化形式论，我们研究了集体场理论中的S矩阵，其中费米能大于势垒的高度。 我们考虑了空间对称和反对称边界条件。 不同之处在于，在反对称边界条件下，S矩阵与外粒子的动量成正比；而在对称边界条件下，它们与能量成正比。 对于 $g_{st}^2$的阶数，我们找到了一般势的S矩阵的简单公式。 作为一个应用，我们计算了一个已经被推测描述“裸奇点”的情况的S矩阵。 显示英文摘要

摘要： By applying the Lehmann-Symanzik-Zimmermann (LSZ) reduction formalism, we study the S matrix of collective field theory in which fermi energy is larger than the height of potential. We consider the spatially symmetric and antisymmetric boundary conditions. The difference is that S matrices are proportional to momenta of external particles in antisymmetric boundary condition, while they are proportional to energies in symmetric boundary condition. To the order of $g_{st}^2$, we find simple formulas for the S matrix of general potential. As an application, we calculate the S matrix of a case which has been conjectured to describe a "naked singularity".