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 review the development of the large N method, where N indicates the number of
flavours, used to study perturbative and nonperturbative properties of quantum field theories …

This paper studies the critical behavior of the 3d classical $\mathrm {O}(N) $ model with a
boundary. Recently, one of us established that upon treating $ N $ as a continuous variable …

A bstract Using numerical conformal bootstrap technology we perform a non-perturbative
study of the Ising CFT and its spectrum from infinitesimal to finite values of ε= 4–d. Exploiting …

A bstract We set up the conventional conformal bootstrap equations in Mellin space and
analyse the anomalous dimensions and OPE coefficients of large spin double trace …

We adopt a combination of analytical and numerical methods to study the renormalization
group flow of the most general field theory with quartic interaction in d= 4-ε with N= 3 and N …

A bstract The critical behavior of infinite families of shift symmetric interacting theories with
higher derivative kinetic terms (non unitary) is considered. Single scalar theories with shift …

We show how the use of standard perturbative RG in dimensional regularization allows for a
renormalization group-based computation of both the spectrum and a family of coefficients of …

A bstract Implications of inserting a conformal, monodromy line defect in three dimensional
O (N) models are studied. We consider then the WF O (N) model, and study the two-point …

A bstract We study the fixed point that controls the IR dynamics of QED in d= 4− 2ϵ
dimensions. We derive the scaling dimensions of four-fermion and bilinear operators …