Core -- a New Method for Solving Hamiltonian Lattice Systems

TL;DR

CORE is a novel, systematically improvable method combining variational, contraction, and real-space renormalization techniques to solve infinite lattice Hamiltonian systems, enabling studies of critical phenomena and fermionic systems.

Contribution

Introduces the CORE method, integrating variational, contraction, and real-space renormalization approaches for Hamiltonian lattice systems, including those with fermions.

Findings

Successfully applied to 1+1-dimensional Ising model

Capable of studying critical phenomena and phase transitions

Handles systems with dynamical fermions

Abstract

The COntractor REnormalization group (CORE) approximation, a new method for solving Hamiltonian lattice systems, is introduced. The approach combines variational and contraction techniques with the real-space renormalization group approach and is systematically improvable. Since it applies to lattice systems of infinite extent, the method is suitable for studying critical phenomena and phase structure; systems with dynamical fermions can also be treated. The method is tested using the 1+1-dimensional Ising model.