학술논문

The Gross-Neveu-Yukawa Archipelago
Document Type
Working Paper
Source
JHEP 02 (2023) 036
Subject
High Energy Physics - Theory
Condensed Matter - Statistical Mechanics
Condensed Matter - Strongly Correlated Electrons
High Energy Physics - Lattice
Language
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.
Comment: 51 pages, 8 figures, 3 appendices; v2: small corrections and clarifications to match JHEP version