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The Gross-Neveu-Yukawa Archipelago
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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.
Forward citations
Cited by 9 Pith papers
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The mixed σ, ε, T bootstrap gives Δσ = 0.518148806(24), Δε = 1.41262528(29), and new OPE coefficients for the critical 3d Ising CFT.
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Mode-selective spin-phonon coupling of shear versus compression phonons produces a peak-dip-peak magnetothermal heat current in spin-orbit-coupled Mott insulators.
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Anomalous dimensions and critical exponents for the Gross-Neveu-Yukawa model at five loops
First five-loop renormalization group functions for the O(N) Gross-Neveu-Yukawa model, yielding refined, resummed critical exponent estimates for N=1, 2, and 5.
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A 2+1 dimensional QFT is constructed whose parity symmetry is unbroken at zero temperature but spontaneously breaks at all sufficiently high temperatures.
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