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 …

In this review recent investigations are summarized of many-body quantum systems with
long-range interactions, which are currently realized in Rydberg atom arrays, dipolar …

This textbook presents a modern account of turbulence, one of the greatest challenges in
physics. The state-of-the-art is put into historical perspective five centuries after the first …

This review summarizes recent developments in the theory of spin glasses, as well as
pertinent experimental data. The most characteristic properties of spin glass systems are …

With the high-temperature superconductors a qualitatively new regime in the
phenomenology of type-II superconductivity can be accessed. The key elements governing …

Introduced as a quantum extension of Maxwell's classical theory, quantum electrodynamics
has been the first example of a Quantum Field Theory (QFT). Eventually, QFT has become …

The distinction between level clustering and level repulsion is one of the quantum
analogues of the classical distinction between globally regular and predominantly chaotic …

The Kadanoff theory of scaling near the critical point for an Ising ferromagnet is cast in
differential form. The resulting differential equations are an example of the differential …

This is an extended version of my Nobel Lecture, delivered on December 8, 2021. I will
recall the genesis of the concept of multiple equilibria in natural sciences. I will then describe …

The field of phase transitions and critical phenomena continues to be active in research,
producing a steady stream of interesting and fruitful results. It has moved into a central place …