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CORE: A New Method for Solving Hamiltonian Lattice Systems
Author(s) -
Marvin Weinstein
Publication year - 2003
Publication title -
high energy physics - lattice
Language(s) - English
Resource type - Reports
DOI - 10.2172/813289
Subject(s) - renormalization group , ising model , lattice (music) , hamiltonian (control theory) , renormalization , hamiltonian system , statistical physics , dynamical systems theory , mathematics , physics , mathematical physics , quantum mechanics , mathematical optimization , acoustics
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.

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