The renormalization group plays an essential role in many areas of physics, both
conceptually and as a practical tool to determine the long-distance low-energy properties of …

A bstract We perform a bootstrap analysis of a mixed system of four-point functions of
bosonic and fermionic operators in parity-preserving 3d CFTs with O (N) global symmetry …

The metal-insulator transition has been a subject of intense research since Mott first
proposed that the metallic behavior of interacting electrons could turn to an insulating one as …

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 …

We discover a quantum Monte Carlo (QMC) method to solve the fermion sign problem in
interacting fermion models by employing a Majorana representation of complex fermions …

We study the chiral Ising, the chiral XY, and the chiral Heisenberg models at four-loop order
with the perturbative renormalization group in 4-ε dimensions and compute critical …

We numerically investigate the critical behavior of the Hubbard model on the honeycomb
and the π-flux lattice, which exhibits a direct transition from a Dirac semimetal to an …

A bstract A general analysis of line defect renormalisation group (RG) flows in the ε
expansion below d= 4 dimensions is undertaken. The defect beta function for general scalar …

A bstract We study the conformal bootstrap for 4-point functions of fermions< ψ i ψ j ψ k ψ ℓ>
in parity-preserving 3d CFTs, where ψ i transforms as a vector under an O (N) global …

A bstract We study an asymptotically free theory of N relativistic Dirac fermions and a real
scalar field coupled by Yukawa and scalar self-interactions in three dimensions using …