Bounding irrelevant operators in the 3d Gross-Neveu-Yukawa CFTs

2024/06/18 by Matthew S. Mitchell, David Poland, Mitchell, Matthew S. +1 · 5 citations
Mathematics · #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #Holomorphic and Operator Theory #Statistical Mechanics (cond-mat.stat-mech) #Strongly Correlated Electrons (cond-mat.str-el)

paper · pdf · doi:10.48550/arxiv.2406.12974

openalex publication_date 2024/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We perform a numerical bootstrap study of scalar operators in the critical 3d Gross-Neveu-Yukawa models, a family of conformal field theories containing N Majorana fermions in the fundamental representation of an O(N) global symmetry. We compute rigorous bounds on the scaling dimensions of the next-to-lowest parity-even and parity-odd singlet scalars at N = 2, 4, and 8. All of these dimensions have lower bounds greater than 3, implying that there are only two relevant singlet scalars and placing constraints on the RG flow structure of these theories.

Cited by

• Bounds on Abelian Currents in 4d CFTs
• Classifying GNY-like models
• Anomalous dimensions and critical exponents for the Gross-Neveu-Yukawa model at five loops
• Redundancy Channels in the Conformal Bootstrap
• Mixed five-point correlators in the 3d Ising model

Related

• An Atlas for 3d Conformal Field Theories with a U(1) Global Symmetry
• Yukawa CFTs and Emergent Supersymmetry
• Anomalous dimensions and critical exponents for the Gross-Neveu-Yukawa model at five loops
• Beyond one-loop calculation: Higher-order effects on Gross-Neveu-Yukawa tensorial criticality
• Classifying GNY-like models