广义zeta函数对phi-in-quadro和Sin-Gordon模型静态解的量子修正
Quantum corrections to static solutions of phi-in-quadro and Sin-Gordon models via generalized zeta-function
摘要：
提出了一种计算量子修正的一般代数方法。本文计算了任意维数下Ginzburg-Landau（φ-in-quadro）模型和Sin-Gordon模型的几个经典解（扭结解和周期解）的量子修正。利用Laplace变换理论和格林函数变换的Hermit方程构造了带孤子势热传导方程的格林函数。在准经典近似下，广义zeta函数被用来计算泛函积分和质量的量子修正。
英文摘要：
A general algebraic method of quantum corrections evaluation is presented. Quantum corrections to a few classical solutions (kinks and periodic) of Ginzburg-Landau (phi-in-quadro) and Sin-Gordon models are calculated in arbitrary dimensions. The Green function for heat equation with a soliton potential is constructed by means of Laplace transformation theory and Hermit equation for the Green function transform. The generalized zeta-function is used to evaluate the functional integral and quantum corrections to mass in quasiclassical approximation.
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