The conformal bootstrap: Theory, numerical techniques, and applications
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 …
of scale invariant critical points. They describe continuous phase transitions in fluids …
New developments in the numerical conformal bootstrap
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 …
tool for studying strongly coupled conformal field theories in various dimensions. Reviewed …
Carving out OPE space and precise O (2) model critical exponents
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 …
surface” algorithm for scanning OPE coefficients makes it possible to find islands in high …
Scaling the semidefinite program solver SDPB
W Landry, D Simmons-Duffin - ar** Heisenberg magnets and their cubic instability
We study the critical O (3) model using the numerical conformal bootstrap. In particular, we
use a recently developed cutting-surface algorithm to efficiently map out the allowed space …
use a recently developed cutting-surface algorithm to efficiently map out the allowed space …
[HTML][HTML] Weizmann lectures on the numerical conformal bootstrap
SM Chester - Physics Reports, 2023 - Elsevier
These lectures were given at the Weizmann Institute in the spring of 2019. They are
intended to familiarize students with the nuts and bolts of the numerical bootstrap as …
intended to familiarize students with the nuts and bolts of the numerical bootstrap as …
Cubic fixed point in three dimensions: Monte Carlo simulations of the model on the simple cubic lattice
M Hasenbusch - Physical Review B, 2023 - APS
We study the cubic fixed point for N= 3 and 4 by using finite-size scaling applied to data
obtained from Monte Carlo simulations of the N-component ϕ 4 model on the simple cubic …
obtained from Monte Carlo simulations of the N-component ϕ 4 model on the simple cubic …
Bootstrap** the long-range Ising model in three dimensions
C Behan - Journal of Physics A: Mathematical and Theoretical, 2019 - iopscience.iop.org
The 3D Ising model and the generalized free scalar of dimension at least 0.75 belong to a
continuous line of nonlocal fixed points, each referred to as a long-range Ising model. They …
continuous line of nonlocal fixed points, each referred to as a long-range Ising model. They …
Searching for gauge theories with the conformal bootstrap
A bstract Infrared fixed points of gauge theories provide intriguing targets for the modern
conformal bootstrap program. In this work we provide some preliminary evidence that a …
conformal bootstrap program. In this work we provide some preliminary evidence that a …