Philosophical Implications of Kadanoff's Work on the Renormalization Group

被引：10

作者：

Batterman, Robert W. ^{[1
]}

机构：

[1] Univ Pittsburgh, Dept Philosophy, 1001 Cathedral Learning, Pittsburgh, PA 15260 USA

来源：

JOURNAL OF STATISTICAL PHYSICS | 2017年 / 167卷 / 3-4期

关键词：

Kadanoff; Renormalization group; Block transformations; Ising model; Minimal models; Universality; Explanation; IDEALIZATION; BREAKING;

D O I：

10.1007/s10955-016-1659-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper investigates the consequences for our understanding of physical theories as a result of the development of the renormalization group. Kadanoff's assessment of these consequences is discussed. What he called the "extended singularity theorem" (that phase transitons only can occur in infinite systems) poses serious difficulties for philosophical interpretation of theories. Several responses are discussed. The resolution demands a philosophical rethinking of the role of mathematics in physical theorizing.

引用

页码：559 / 574

页数：16

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