1992/10/20 by Calvin W. Johnson, C. W. Johnson, S. E. Koonin +2 · 133 citations
Mathematics · Physics and Astronomy · #Algorithm #Auxiliary field #Computation #Computer science #Dynamic Monte Carlo method #Hybrid Monte Carlo #Markov chain Monte Carlo #Mathematics #Monte Carlo integration #Monte Carlo method #Monte Carlo method in statistical physics #Monte Carlo molecular modeling #Nuclear physics research studies #Physics #Physics of Superconductivity and Magnetism #Quantum Monte Carlo #Quantum mechanics #Scaling #Statistical physics #Superconductivity in MgB2 and Alloys #nucl-th
paper · pdf · doi:10.1103/physrevlett.69.3157
published in Physical Review Letters 69(22), 3157-3160 (American Physical Society) · 13 pages, MAP-148
arxiv created 1992/10/20 · openalex publication_date 1992/11/30 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We present novel Monte Carlo methods for treating the interacting shell model that allow exact calculations much larger than those heretofore possible. The two-body interaction is linearized by an auxiliary field; Monte Carlo evaluation of the resulting functional integral gives ground-state or thermal expectation values of few-body operators. The ``sign problem'' generic to quantum Monte Carlo calculations is absent in a number of cases. We discuss the favorable scaling of these methods with nucleon number and basis size and their suitability to parallel computation.