We provide a rigorous lattice approximation of conformal field theories given in terms of
lattice fermions in 1+ 1-dimensions, focussing on free fermion models and Wess–Zumino …

We analyze the renormalization group fixed point of the two-dimensional Ising model at
criticality. In contrast with expectations from tensor network renormalization (TNR), we show …

In constructive quantum field theory (CQFT) it is customary to first regularize the theory at
finite UV and IR cutoff. Then one first removes the UV cutoff using renormalization …

Hamiltonian renormalization, as defined within this series of works, was derived from
covariant Wilson renormalization via Osterwalder-Schrader reconstruction. As such it directly …

Many features of physical systems, both qualitative and quantitative, become sharply
defined or tractable only in some limiting situation. Examples are phase transitions in the …

The Vlasov equation is a nonlinear partial differential equation that provides a first-principles
description of the dynamics of plasmas. Its linear limit is routinely used in plasma physics to …

We report on a rigorous operator-algebraic renormalization group scheme and construct the
free field with a continuous action of translations as the scaling limit of Hamiltonian lattice …

Here we investigate the use of deep multiscale entanglement renormalization ansatz
(DMERA) circuits as a variational ansatz. We use the exactly solvable one-dimensional …

The Hamiltonian renormalization program motivated by constructive quantum field theory
and Osterwalder-Schrader reconstruction that was recently launched for bosonic field …

A braiding operation defines a real-space renormalization group for anyonic chains. The
resulting renormalization group flow can be used to define a quantum scaling limit by …