Classical improvement of lattice actions and quantum effects: A unified view

被引：8

作者：

Rossi, P ^{[1
]}

Vicari, E ^{[1
]}

机构：

[1] IST NAZL FIS NUCL, I-56126 PISA, ITALY

来源：

PHYSICS LETTERS B | 1996年 / 389卷 / 03期

关键词：

D O I：

10.1016/S0370-2693(96)01320-2

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The possibility of removing the one-loop perturbative effects of lattice artifacts by a proper choice of the lattice action is explored, and found to depend crucially on the properties of the physical quantity considered. In this respect the finite-space-volume mass gap m(L) is an improved observable. We find an explicit momentum space representation of the one-loop contribution to m(L) for arbitrary lattice actions in the case of two-dimensional O(N) sigma models. We define a ''tree perfect'' Symanzik action and find that it formally removes all one-loop lattice artifacts in m(L). On-shell improved actions do not share this property.

引用

页码：571 / 576

页数：6

共 17 条

[1] THE VALIDITY OF PERTURBATION-THEORY FOR THE O(N) NONLINEAR SIGMA-MODELS [J].