Coarse-Graining as a Route to Microscopic Physics: The Renormalization Group in Quantum Field Theory.

The renormalization group (RG) has been characterized as merely a coarse-graining procedure that does not illuminate the microscopic content of quantum field theory (QFT) but merely gets us from that content, as given by axiomatic QFT, to macroscopic predictions. I argue that in the constructive fie...

Full description

Bibliographic Details
Published in:Philosophy of Science Vol. 82; no. 5; pp. 1211 - 1224
Main Author: Li, Bihui
Format: Article
Published: Cambridge University Press Dec2015
Subjects:
Online Access:View this record in EBSCOhost
Description
Summary:The renormalization group (RG) has been characterized as merely a coarse-graining procedure that does not illuminate the microscopic content of quantum field theory (QFT) but merely gets us from that content, as given by axiomatic QFT, to macroscopic predictions. I argue that in the constructive field theory tradition, RG techniques do illuminate the microscopic dynamics of a QFT, which are not automatically given by axiomatic QFT. RG techniques in constructive field theory are also rigorous, so one cannot object to their foundational import on grounds of lack of rigor.