Asymptotic safety generalizes asymptotic freedom and could contribute to understanding
physics beyond the Standard Model. It is a candidate scenario to provide an ultraviolet …

Entanglement entropy plays a variety of roles in quantum field theory, including the
connections between quantum states and gravitation through the holographic principle. This …

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 …

A bstract We study the ultraviolet behaviour of four-dimensional quantum field theories
involving non-abelian gauge fields, fermions and scalars in the Veneziano limit. In a regime …

A bstract We describe in more detail our approach to the conformal bootstrap which uses the
Mellin representation of CFT d four point functions and expands them in terms of crossing …

In this review we study quantum field theories and conformal field theories with global
symmetries in the limit of large charge for some of the generators of the symmetry group. At …

Abstract The critical O (N) CFT in spacetime dimensions 2< d< 4 is one of the most important
examples of a conformal field theory, with the Ising CFT at N= 1, 2⩽ d< 4, as a notable …

We propose a new approach towards analytically solving for the dynamical content of
conformal field theories (CFTs) using the bootstrap philosophy. This combines the original …

A bstract We study 3d CFTs with an O (N) global symmetry using the conformal bootstrap for
a system of mixed correlators. Specifically, we consider all nonvanishing scalar four-point …

A bstract We study a surface defect in the free and critical O (N) vector models, defined by
adding a quadratic perturbation localized on a two-dimensional subspace of the d …