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 …

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 …

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 …

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 …

A semidefinite program solver for the conformal bootstrap

D Simmons-Duffin - Journal of High Energy Physics, 2015 - Springer
A bstract We introduce SDPB: an open-source, parallelized, arbitrary-precision semidefinite
program solver, designed for the conformal bootstrap. SDPB significantly outperforms less …

The lightcone bootstrap and the spectrum of the 3d Ising CFT

D Simmons-Duffin - Journal of High Energy Physics, 2017 - Springer
We compute numerically the dimensions and OPE coefficients of several operators in the 3d
Ising CFT, and then try to reverse-engineer the solution to crossing symmetry analytically …

[图书][B] EPFL lectures on conformal field theory in D≥ 3 dimensions

S Rychkov - 2017 - Springer
EPFL lectures on conformal field theory in D≥ 3 dimensions 123 SPRINGER BRIEFS IN
PHYSICS Slava Rychkov EPFL Lectures on Conformal Field Theory in D≥ 3 Dimensions Page …

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 …

QCD at finite temperature and density within the fRG approach: an overview

W Fu - Communications in Theoretical Physics, 2022 - iopscience.iop.org
In this paper, we present an overview on recent progress in studies of QCD at finite
temperature and densities within the functional renormalization group (fRG) approach. The …