The nonperturbative functional renormalization group and its applications

N Dupuis, L Canet, A Eichhorn, W Metzner… - Physics Reports, 2021‏ - Elsevier
The renormalization group plays an essential role in many areas of physics, both
conceptually and as a practical tool to determine the long-distance low-energy properties of …

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 …

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 …

Universal asymptotics for high energy CFT data

N Benjamin, J Lee, H Ooguri… - Journal of High Energy …, 2024‏ - Springer
A bstract Equilibrium finite temperature observables of a CFT can be described by a local
effective action for background fields—a “thermal effective action”. This effective action …

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 …

From dS to AdS and back

C Sleight, M Taronna - Journal of High Energy Physics, 2021‏ - Springer
A bstract We describe in more detail the general relation uncovered in our previous work
between boundary correlators in de Sitter (dS) and in Euclidean anti-de Sitter (EAdS) space …

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 …

Light-ray operators in conformal field theory

P Kravchuk, D Simmons-Duffin - Journal of High Energy Physics, 2018‏ - Springer
A bstract We argue that every CFT contains light-ray operators labeled by a continuous spin
J. When J is a positive integer, light-ray operators become integrals of local operators over a …

[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 …

Carving out OPE space and precise O (2) model critical exponents

SM Chester, W Landry, J Liu, D Poland… - Journal of High Energy …, 2020‏ - Springer
A bstract We develop new tools for isolating CFTs using the numerical bootstrap. A “cutting
surface” algorithm for scanning OPE coefficients makes it possible to find islands in high …