THE RENORMALIZATION-GROUP IN THE LOCAL POTENTIAL APPROXIMATION AND ITS APPLICATIONS TO THE O(N) MODEL

被引：31

作者：

ZUMBACH, G

机构：

[1] Harvard University, Department of Physics, Cambridge

来源：

NUCLEAR PHYSICS B | 1994年 / 413卷 / 03期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0550-3213(94)90011-6

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

In the local potential approximation, the renormalization group is reduced to a semi-linear parabolic partial differential equation. We study the general properties of the equation and in particular we show that the flow is the gradient of a scalar function. Then, we apply this approximation to the O(n) model and solve the equation numerically. The critical exponents in three dimensions are found to agree with the best known values. In two dimensions, we obtain asymptotic freedom for all values of n. We also study the flow in non-perturbative regions, where first-order transition occurs.

引用

页码：754 / 770

页数：17

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