2007/01/24 by Robert M. Konik, Robert Konik, Yury Adamov · 84 citations
Mathematics · Physics and Astronomy · #Conformal field theory #Conformal map #Density matrix renormalization group #Eigenvalues and eigenvectors #Functional renormalization group #Infrared fixed point #Integrable system #Ising model #Mathematical analysis #Mathematical physics #Mathematics #Observable #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum field theory #Quantum many-body systems #Quantum mechanics #Renormalization #Renormalization group #Spectrum (functional analysis) #Statistical physics #Theoretical and Computational Physics #cond-mat.str-el #hep-th
paper · pdf · doi:10.1103/physrevlett.98.147205
published in Physical Review Letters 98(14), 147205 (American Physical Society) · 4 pages, 4 figures
arxiv created 2007/01/24 · openalex publication_date 2007/04/06 · arxiv updated 2016/07/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present a renormalization group (RG) procedure which works naturally on a wide class of interacting one-dimension models based on perturbed (possibly strongly) continuum conformal and integrable models. This procedure integrates Wilson's numerical renormalization group with Zamolodchikov's truncated conformal spectrum approach. The key to the method is that such theories provide a set of completely understood eigenstates for which matrix elements can be exactly computed. In this procedure the RG flow of physical observables can be studied both numerically and analytically. To demonstrate the approach, we study the spectrum of a pair of coupled quantum Ising chains and correlation functions in a single quantum Ising chain in the presence of a magnetic field.