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 …

Phase transitions in particle physics: Results and perspectives from lattice quantum chromo-dynamics

G Aarts, J Aichelin, C Allton, A Athenodorou… - Progress in Particle and …, 2023 - Elsevier
Phase transitions in a non-perturbative regime can be studied by ab initio Lattice Field
Theory methods. The status and future research directions for LFT investigations of Quantum …

New developments in the numerical conformal bootstrap

S Rychkov, N Su - Reviews of Modern Physics, 2024 - APS
Over the past 15 years, the numerical conformal bootstrap has become an indispensable
tool for studying strongly coupled conformal field theories in various dimensions. Reviewed …

[書籍][B] Holographic quantum matter

SA Hartnoll, A Lucas, S Sachdev - 2018 - books.google.com
A comprehensive overview of holographic methods in quantum matter, written by pioneers
in the field. This book, written by pioneers in the field, offers a comprehensive overview of …

Analyticity in spin in conformal theories

S Caron-Huot - Journal of High Energy Physics, 2017 - Springer
A bstract Conformal theory correlators are characterized by the spectrum and three-point
functions of local operators. We present a formula which extracts this data as an analytic …

[HTML][HTML] Selected topics in analytic conformal bootstrap: A guided journey

A Bissi, A Sinha, X Zhou - Physics Reports, 2022 - Elsevier
This review aims to offer a pedagogical introduction to the analytic conformal bootstrap
program via a journey through selected topics. We review analytic methods which include …

Precision islands in the Ising and O (N) models

F Kos, D Poland, D Simmons-Duffin, A Vichi - Journal of High Energy …, 2016 - Springer
A bstract We make precise determinations of the leading scaling dimensions and operator
product expansion (OPE) coefficients in the 3d Ising, O (2), and O (3) models from the …

Deconfined quantum critical points: symmetries and dualities

C Wang, A Nahum, MA Metlitski, C Xu, T Senthil - Physical Review X, 2017 - APS
The deconfined quantum critical point (QCP), separating the Néel and valence bond solid
phases in a 2D antiferromagnet, was proposed as an example of (2+ 1) D criticality …

The conformal bootstrap

D Simmons-Duffin - New Frontiers in Fields and Strings: TASI 2015 …, 2017 - World Scientific
These notes are from courses given at TASI and the Advanced Strings School in summer
2015. Starting from principles of quantum field theory and the assumption of a traceless …

Uncovering conformal symmetry in the 3D Ising transition: state-operator correspondence from a quantum fuzzy sphere regularization

W Zhu, C Han, E Huffman, JS Hofmann, YC He - Physical Review X, 2023 - APS
The 3D Ising transition, the most celebrated and unsolved critical phenomenon in nature,
has long been conjectured to have emergent conformal symmetry, similar to the case of the …