The nonperturbative functional renormalization group and its applications
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 …
conceptually and as a practical tool to determine the long-distance low-energy properties of …
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 …
Snowmass white paper: the cosmological bootstrap
This white paper summarizes recent progress in the cosmological bootstrap, an approach to
the study of the statistics of primordial fluctuations from consistency with unitarity, locality and …
the study of the statistics of primordial fluctuations from consistency with unitarity, locality and …
[HTML][HTML] Selected topics in analytic conformal bootstrap: A guided journey
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 …
program via a journey through selected topics. We review analytic methods which include …
Uncovering conformal symmetry in the 3D Ising transition: state-operator correspondence from a quantum fuzzy sphere regularization
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 …
has long been conjectured to have emergent conformal symmetry, similar to the case of the …
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 …
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 …
Ising CFT, and then try to reverse-engineer the solution to crossing symmetry analytically …
Towards the non-perturbative cosmological bootstrap
A bstract We study quantum field theory on a de Sitter spacetime dS d+ 1 background. Our
main tool is the Hilbert space decomposition in irreducible unitary representations of its …
main tool is the Hilbert space decomposition in irreducible unitary representations of its …
The Gross-Neveu-Yukawa archipelago
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 …
bosonic and fermionic operators in parity-preserving 3d CFTs with O (N) global symmetry …
[HTML][HTML] Bootstrability in defect CFT: integrated correlators and sharper bounds
A bstract We continue to develop Bootstrability—a method merging Integrability and
Conformal Bootstrap to extract CFT data in integrable conformal gauge theories such …
Conformal Bootstrap to extract CFT data in integrable conformal gauge theories such …