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 …

Scale invariance vs conformal invariance

Y Nakayama - Physics Reports, 2015 - Elsevier
In this review article, we discuss the distinction and possible equivalence between scale
invariance and conformal invariance in relativistic quantum field theories. Under some …

Solving the 3D Ising model with the conformal bootstrap

S El-Showk, MF Paulos, D Poland, S Rychkov… - Physical Review D …, 2012 - APS
We study the constraints of crossing symmetry and unitarity in general 3D conformal field
theories. In doing so we derive new results for conformal blocks appearing in four-point …

Convexity and liberation at large spin

Z Komargodski, A Zhiboedov - Journal of High Energy Physics, 2013 - Springer
A bstract We consider several aspects of unitary higher-dimensional conformal field theories
(CFTs). We first study massive deformations that trigger a flow to a gapped phase. Deep …

Bounding scalar operator dimensions in 4D CFT

R Rattazzi, VS Rychkov, E Tonni… - Journal of High Energy …, 2008 - iopscience.iop.org
In an arbitrary unitary 4D CFT we consider a scalar operator ϕ, and the operator ϕ 2 defined
as the lowest dimension scalar which appears in the OPE ϕ× ϕ with a nonzero coefficient …

Conformal collider physics: Energy and charge correlations

DM Hofman, J Maldacena - Journal of High Energy Physics, 2008 - iopscience.iop.org
We study observables in a conformal field theory which are very closely related to the ones
used to describe hadronic events at colliders. We focus on the correlation functions of the …

Bootstrapping the O (N) vector models

F Kos, D Poland, D Simmons-Duffin - Journal of High Energy Physics, 2014 - Springer
A bstract We study the conformal bootstrap for 3D CFTs with O (N) global symmetry. We
obtain rigorous upper bounds on the scaling dimensions of the first O (N) singlet and …

Conformal dynamics for TeV physics and cosmology

F Sannino - arXiv preprint arXiv:0911.0931, 2009 - arxiv.org
We introduce the topic of dynamical breaking of the electroweak symmetry and its link to
unparticle physics and cosmology. The knowledge of the phase diagram of strongly coupled …

Higher derivative gravity, causality and positivity of energy in a UV complete QFT

DM Hofman - Nuclear physics B, 2009 - Elsevier
In this note we discuss the relation between the constraints imposed by causality in the bulk
of AdS and the condition of positivity of the energy measured in ideal calorimeters in a …

Effective field theory of gravity to all orders

M Ruhdorfer, J Serra, A Weiler - Journal of High Energy Physics, 2020 - Springer
A bstract We construct the general effective field theory of gravity coupled to the Standard
Model of particle physics, which we name GRSMEFT. Our method allows the systematic …