标题： 质量标量场在有限厚度宇宙弦背景下的基态能量 显示英文标题

标题： Ground State Energy of Massive Scalar Field in the Background of Finite Thickness Cosmic String

摘要： 我们计算了在有限厚度宇宙弦（Gott-Hiscock度规）背景下的大质量标量场的基态能量。 使用zeta函数正则化方法，我们详细讨论了重整化和相关的热核系数。 在弦的质量密度较小的近似下，计算了2+1维中基态能量的有限（非局部）部分。 通过数值计算表明，它作为弦半径和非共形耦合参数$\xi$的函数而消失。 显示英文摘要

摘要： We calculate the ground state energy of a massive scalar field in the background of a cosmic string of finite thickness (Gott-Hiscock metric). Using zeta functional regularization we discuss the renormalization and the relevant heat kernel coefficients in detail. The finite (non local) part of the ground state energy is calculated in 2+1 dimensions in the approximation of a small mass density of the string. By a numerical calculation it is shown to vanish as a function of the radius of the string and of the parameter $\xi$ of the nonconformal coupling.