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 …

We show that a quantum spin system has an exact description by non-interacting fermions if
its frustration graph is claw-free and contains a simplicial clique. The frustration graph of a …

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 …

We provide a comprehensive treatment of embezzlement of entanglement in the setting of
von Neumann algebras and discuss its relation to the classification of von Neumann …

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 …

We present a rigorous renormalization group scheme for lattice quantum field theories in
terms of operator algebras. The renormalization group is considered as an inductive system …

Given a unitary fusion category, one can define the Hilbert space of a so-called “anyonic
spin-chain” and nearest neighbor Hamiltonians providing a real-time evolution. There is …

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 …