期刊
PHYSICAL REVIEW E
卷 92, 期 5, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.92.052113
关键词
-
资金
- Danish National Research Foundation [DNRF90]
We study, by renormalization group methods, O(N) models with interactions decaying as power law with exponent d + sigma. When only the long-range momentum term p(sigma) is considered in the propagator, the critical exponents can be computed from those of the corresponding short-range O(N) models at an effective fractional dimension D-eff. Neglecting wave function renormalization effects the result for the effective dimension is D-eff = 2d/sigma, which turns to be exact in the spherical model limit (N -> 8). Introducing a running wave function renormalization term the effective dimension becomes instead D-eff = (2-eta SR)d/sigma . The latter result coincides with the one found using standard scaling arguments. Explicit results in two and three dimensions are given for the exponent nu. We propose an improved method to describe the full theory space of the models where both short-and long-range propagator terms are present and no a priori choice among the two in the renormalization group flow is done. The eigenvalue spectrum of the full theory for all possible fixed points is drawn and a full description of the fixed-point structure is given, including multicritical long-range universality classes. The effective dimension is shown to be only approximate, and the resulting error is estimated.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据