The Gross-Neveu-Yukawa Archipelago
High Energy Physics - Theory
2023-05-24 v2 Statistical Mechanics
Strongly Correlated Electrons
High Energy Physics - Lattice
Abstract
We perform a bootstrap analysis of a mixed system of four-point functions of bosonic and fermionic operators in parity-preserving 3d CFTs with O(N) global symmetry. Our results provide rigorous bounds on the scaling dimensions of the O(N)-symmetric Gross-Neveu-Yukawa (GNY) fixed points, constraining these theories to live in isolated islands in the space of CFT data. We focus on the cases N = 1, 2, 4, 8, which have applications to phase transitions in condensed matter systems, and compare our bounds to previous analytical and numerical results.
Cite
@article{arxiv.2210.02492,
title = {The Gross-Neveu-Yukawa Archipelago},
author = {Rajeev S. Erramilli and Luca V. Iliesiu and Petr Kravchuk and Aike Liu and David Poland and David Simmons-Duffin},
journal= {arXiv preprint arXiv:2210.02492},
year = {2023}
}
Comments
51 pages, 8 figures, 3 appendices; v2: small corrections and clarifications to match JHEP version