Generalization of Euler's summation formula to path integrals

被引：21
|
作者：
Bogojevic, A [1 ]
Balaz, A [1 ]
Belic, A [1 ]
机构：
[1] Inst Phys, Comp Sci Lab, Belgrade 11001, Serbia Monteneg
来源：
PHYSICS LETTERS A | 2005年 / 344卷 / 2-4期
关键词：
path integral; quantum theory; effective action;
D O I：
10.1016/j.physleta.2005.06.053
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A recently developed analytical method for systematic improvement of the convergence of path integrals is used to derive a generalization of Euler's summation formula for path integrals. The first p terms in this formula improve convergence of path integrals to the continuum limit from 1/N to 1/N-P, where N is the coarseness of the discretization. Monte Carlo simulations performed on several different models show that the analytically derived speedup holds. (c) 2005 Elsevier B.V. All rights reserved.
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页码：84 / 90
页数：7
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