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 …

Quantum atomic and molecular gases are flexible systems for studies of fundamental many-
body physics. They have traditionally been produced in harmonic electromagnetic traps and …

A bstract We make precise determinations of the leading scaling dimensions and operator
product expansion (OPE) coefficients in the 3d Ising, O (2), and O (3) models from the …

A bstract We develop new tools for isolating CFTs using the numerical bootstrap. A “cutting
surface” algorithm for scanning OPE coefficients makes it possible to find islands in high …

Fermi gases, collections of fermions such as neutrons and electrons, are found throughout
nature, from solids to neutron stars. Interacting Fermi gases can form a superfluid or, for …

In the course of a nonequilibrium continuous phase transition, the dynamics ceases to be
adiabatic in the vicinity of the critical point as a result of the critical slowing down (the …

We present the perturbative renormalization group functions of O (n)-symmetric ϕ 4 theory in
4-2 ϵ dimensions to the sixth loop order in the minimal subtraction scheme. In addition, we …

“The career structure and funding of the universities [...] currently strongly discourages
academics and faculties from putting any investment into teaching–there are no career or …

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 …

The many-body physics at quantum phase transitions shows a subtle interplay between
quantum and thermal fluctuations, emerging in the low-temperature limit. In this review, we …