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 …

We review results concerning the critical behavior of spin systems at equilibrium. We
consider the Ising and the general O (N)-symmetric universality classes, including the N→ 0 …

The fermionic Hubbard model (FHM) describes a wide range of physical phenomena
resulting from strong electron–electron correlations, including conjectured mechanisms for …

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 …

These lecture notes introduce quantum spin systems and several computational methods for
studying their ground‐state and finite‐temperature properties. Symmetry‐breaking and …

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 …

We propose a novel coarse-graining tensor renormalization group method based on the
higher-order singular value decomposition. This method provides an accurate but low …

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 …

The recently discovered superconductivity with critical temperature T c up to 80 K in the
double-layer Nickelate La 3 Ni 2 O 7-δ under pressure has drawn great attention. Here, we …