Geodesic renormalization group flow

被引：18

作者：

Dolan, BP ^{[1
]}

机构：

[1] DUBLIN INST ADV STUDIES,DUBLIN 4,IRELAND

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 1997年 / 12卷 / 13期

关键词：

D O I：

10.1142/S0217751X97001407

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

It is shown that the renormalization group flow in coupling constant space can be interpreted in terms of a dynamical equation for the couplings analogous to viscous fluid flow under the action of a potential. Using a specific definition of a metric the renormalization group flow for free scalar field theory is geodesic in two dimensions, while for D not equal 2 it is only geodesic for vanishing external source. For the 1D Ising model the renormalization flow is geodesic when the external magnetic field vanishes.

引用

页码：2413 / 2424

页数：12

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