Solving Conformal Field Theories with Artificial Intelligence
High Energy Physics - Theory
2022-02-02 v2
Abstract
In this paper we deploy for the first time Reinforcement-Learning algorithms in the context of the conformal-bootstrap programme to obtain numerical solutions of conformal field theories (CFTs). As an illustration, we use a soft Actor-Critic algorithm and find approximate solutions to the truncated crossing equations of two-dimensional CFTs, successfully identifying well-known theories like the 2D Ising model and the 2D CFT of a compactified scalar. Our methods can perform efficient high-dimensional searches that can be used to study arbitrary (unitary or non-unitary) CFTs in any spacetime dimension.
Cite
@article{arxiv.2108.08859,
title = {Solving Conformal Field Theories with Artificial Intelligence},
author = {Gergely Kántor and Vasilis Niarchos and Constantinos Papageorgakis},
journal= {arXiv preprint arXiv:2108.08859},
year = {2022}
}
Comments
6 pages; v2: references added