论文标题
在有限正弦戒指的地面能量上
On the ground-state energy of the finite sine-Gordon ring
论文作者
论文摘要
在有限圆圈中,在分析和数值上研究了CASIMIR缩放函数,表征有限圆圈中正弦波顿模型的基础能量。耦合常数的几个值的缩放函数的数值计算是通过Destri-de Vega非线性积分方程的迭代解决方案进行的。 Casimir缩放函数的紫外线渐近级是通过这些方程式的扰动溶液和扰动的共形性场理论技术来计算的,并与数值结果进行了比较。
The Casimir scaling function characterising the ground-state energy of the sine-Gordon model in a finite circle has been studied analytically and numerically both in the repulsive and attractive regimes. The numerical calculations of the scaling function at several values of the coupling constant were performed by the iterative solution of the Destri-de Vega nonlinear integral equations. The ultraviolet asymptotics of the Casimir scaling functions was calculated by perturbative solution of these equations, and by means of the perturbed conformal field-theory technique, and compared with numerical results.