Renormalization Group Flows on Line Defects
High Energy Physics - Theory
2022-01-12 v4 Statistical Mechanics
Strongly Correlated Electrons
Abstract
We consider line defects in d-dimensional Conformal Field Theories (CFTs). The ambient CFT places nontrivial constraints on Renormalization Group (RG) flows on such line defects. We show that the flow on line defects is consequently irreversible and furthermore a canonical decreasing entropy function exists. This construction generalizes the g theorem to line defects in arbitrary dimensions. We demonstrate our results in a flow between Wilson loops in 4 dimensions.
Cite
@article{arxiv.2108.01117,
title = {Renormalization Group Flows on Line Defects},
author = {Gabriel Cuomo and Zohar Komargodski and Avia Raviv-Moshe},
journal= {arXiv preprint arXiv:2108.01117},
year = {2022}
}
Comments
5 pages, 1 figure v2 added ref.s v3 minor corrections v4 matches published version