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 …

Walking, Weak first-order transitions, and Complex CFTs

V Gorbenko, S Rychkov, B Zan - Journal of High Energy Physics, 2018 - Springer
A bstract We discuss walking behavior in gauge theories and weak first-order phase
transitions in statistical physics. Despite appearing in very different systems (QCD below the …

Energy flow polynomials: A complete linear basis for jet substructure

PT Komiske, EM Metodiev, J Thaler - Journal of High Energy Physics, 2018 - Springer
A bstract We introduce the energy flow polynomials: a complete set of jet substructure
observables which form a discrete linear basis for all infrared-and collinear-safe …

Operator bases, S-matrices, and their partition functions

B Henning, X Lu, T Melia, H Murayama - Journal of High Energy Physics, 2017 - Springer
A bstract Relativistic quantum systems that admit scattering experiments are quantitatively
described by effective field theories, where S-matrix kinematics and symmetry …

Boundary and interface CFTs from the conformal bootstrap

F Gliozzi, P Liendo, M Meineri, A Rago - Journal of High Energy Physics, 2015 - Springer
A bstract We explore some consequences of the crossing symmetry for defect conformal
field theories, focusing on codimension one defects like flat boundaries or interfaces. We …

Renormalization group flows in AdS and the bootstrap program

M Meineri, J Penedones, T Spirig - Journal of High Energy Physics, 2024 - Springer
A bstract We study correlation functions of the bulk stress tensor and boundary operators in
Quantum Field Theories (QFT) in Anti-de Sitter (AdS) space. In particular, we derive new …

Hamiltonian truncation study of the theory in two dimensions

S Rychkov, LG Vitale - Physical Review D, 2015 - APS
We defend the Fock-space Hamiltonian truncation method, which allows us to calculate
numerically the spectrum of strongly coupled quantum field theories, by putting them in a …

Unitarity violation at the Wilson-Fisher fixed point in dimensions

M Hogervorst, S Rychkov, BC van Rees - Physical Review D, 2016 - APS
We consider the continuation of free and interacting scalar field theory to noninteger
spacetime dimension d. We find that the correlation functions in these theories are …

Interpolating between a and F

S Giombi, IR Klebanov - Journal of High Energy Physics, 2015 - Springer
A bstract We study the dimensional continuation of the sphere free energy in conformal field
theories. In continuous dimension d we define the quantity\(\tilde {F}\)= sin (πd/2) log Z …