The breaking of electroweak symmetry, and origin of the associated “weak scale”, v weak=
1/2 2 GF= 175 GeV, may be due to a new strong interaction. Theoretical developments over …

The most well-known mechanism for fermions to acquire a mass is the Nambu–Goldstone–
Anderson–Higgs mechanism, ie, after a spontaneous symmetry breaking, a bosonic field …

We review the solutions of O (N) and U (N) quantum field theories in the large N limit and as
1/N expansions, in the case of vector representations. Since invariant composite fields have …

We describe a color embedding, SU (3) c→ SU (3) 1× SU (3) 2, that is designed to break
electroweak symmetries through top quark condensation. The minimal scheme of Bardeen …

Lattice regularization of chiral fermions has been a long-standing problem in physics. In this
Letter, we present the density matrix renormalization group simulation of the 3-4-5-0 model …

We revisit the classic O (N) symmetric scalar field theories in d dimensions with interaction
(ϕ i ϕ i) 2. For 2< d< 4 these theories flow to the Wilson-Fisher fixed points for any N. A …

A bstract We study line defects in the fermionic CFTs in the Gross-Neveu-Yukawa
universality class in dimensions 2< d< 4. These CFTs may be described as the IR fixed …

In these lectures we give an overview of the duality between gravitational theories of
massless higher spin fields in AdS and large N vector models. We first review the original …

The scale dependence of an effective average action for mesons and quarks is described by
an exact nonperturbative flow equation. The running of couplings follows from a truncation of …

Top-quark condensation, in particular the minimal framework in which the neutral Higgs
scalar is (predominantly) an effective tt condensate of the standard model, is reviewed …