Local/Short-range conformal field theories from long-range perturbation theory
High Energy Physics - Theory
2024-12-10 v2 Statistical Mechanics
Abstract
We show that by imposing the conformal Wald identity, one can extract conformal data of the corresponding short-range/local CFT from the long-range perturbation theory. We first apply this to the O(N) vector model. We demonstrate that by properly re-sum the perturbative series, one gets reasonable estimations of the critical exponents of the local/short-range CFTs. We then apply this method to study fermionic models with four-fermion interactions. In 2+1 dimensions, the model has the Gross-Neveu coupling and the Thirring coupling. We also consider a 4+1 dimensional theory with a generalized Thirring coupling.
Keywords
Cite
@article{arxiv.2406.17958,
title = {Local/Short-range conformal field theories from long-range perturbation theory},
author = {Junchen Rong},
journal= {arXiv preprint arXiv:2406.17958},
year = {2024}
}
Comments
The results are updated using the recent corrigendum of the three-loop calculation in [arXiv:2411.00805]. References updated