The conformal bootstrap: Theory, numerical techniques, and applications

D Poland, S Rychkov, A Vichi - Reviews of Modern Physics, 2019 - APS
Conformal field theories have been long known to describe the fascinating universal physics
of scale invariant critical points. They describe continuous phase transitions in fluids …

Critical reflections on asymptotically safe gravity

A Bonanno, A Eichhorn, H Gies, JM Pawlowski… - Frontiers in …, 2020 - frontiersin.org
Asymptotic safety is a theoretical proposal for the ultraviolet completion of quantum field
theories, in particular for quantum gravity. Significant progress on this program has led to a …

The Gross-Neveu-Yukawa archipelago

RS Erramilli, LV Iliesiu, P Kravchuk, A Liu… - Journal of High Energy …, 2023 - Springer
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 …

Kekulé valence bond order in an extended Hubbard model on the honeycomb lattice with possible applications to twisted bilayer graphene

XY Xu, KT Law, PA Lee - Physical Review B, 2018 - APS
Using large-scale quantum Monte Carlo simulations, we exactly solve a model of fermions
hopping on the honeycomb lattice with cluster charge interactions, which has been …

Four-loop critical exponents for the Gross-Neveu-Yukawa models

N Zerf, LN Mihaila, P Marquard, IF Herbut, MM Scherer - Physical Review D, 2017 - APS
We study the chiral Ising, the chiral XY, and the chiral Heisenberg models at four-loop order
with the perturbative renormalization group in 4-ε dimensions and compute critical …

[PDF][PDF] Snowmass White Paper: The Numerical Conformal Bootstrap

D Poland, D Simmons-Duffin - arXiv preprint arXiv:2203.08117, 2022 - arxiv.org
The idea of the conformal bootstrap is to constrain and solve CFTs using physical
consistency conditions like symmetry, unitarity, and causality. By relying on nonperturbative …

Constraining power of asymptotic safety for scalar fields

A Eichhorn, M Pauly - Physical Review D, 2021 - APS
We explore the phenomenology of scalar fields coupled to asymptotically safe quantum
gravity, in light of their potential significance for dark matter, for the inflaton as well as …

Bootstrapping 3D fermions with global symmetries

L Iliesiu, F Kos, D Poland, SS Pufu… - Journal of High Energy …, 2018 - Springer
A bstract We study the conformal bootstrap for 4-point functions of fermions< ψ i ψ j ψ k ψ ℓ>
in parity-preserving 3d CFTs, where ψ i transforms as a vector under an O (N) global …

Dirac fermions with plaquette interactions. I. SU (2) phase diagram with Gross-Neveu and deconfined quantum criticalities

Y Da Liao, XY Xu, ZY Meng, Y Qi - Physical Review B, 2022 - APS
We investigate the ground state phase diagram of an extended Hubbard model with a π-flux
hopping term at half filling on a square lattice, with unbiased large-scale auxiliary-field …

Abelian Higgs model at four loops, fixed-point collision, and deconfined criticality

B Ihrig, N Zerf, P Marquard, IF Herbut, MM Scherer - Physical Review B, 2019 - APS
The Abelian Higgs model is the textbook example for the superconducting transition and the
Anderson-Higgs mechanism, and has become pivotal in the description of deconfined …