The Gross-Neveu-Yukawa archipelago
Rajeev S. Erramilli, Luca V. Iliesiu, Petr Kravchuk, Aike Liu, David Poland, David Simmons–Duffin
Abstract
A bstract 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.
Topics & Concepts
Yukawa potentialPhysicsGross–Neveu modelFixed pointScalingMathematical physicsParity (physics)Theoretical physicsFermionParticle physicsMathematical analysisGeometryMathematicsBlack Holes and Theoretical PhysicsNoncommutative and Quantum Gravity TheoriesQuantum many-body systems