Auxiliary-field Monte Carlo methods

Research output: Contribution to journalArticlepeer-review

Abstract

I discuss Monte Carlo algorithms for quantum many-body systems that employ an auxiliary field to linearize a two-body interaction. These reduce the evaluation of the partition function to sampling many one-body evolutions in a fluctuating field. Fermions and bosons are treated on an equal footing. Applications to potential models and to quantum spin systems are discussed.

Original languageEnglish (US)
Pages (from-to)985-990
Number of pages6
JournalJournal of Statistical Physics
Volume43
Issue number5-6
DOIs
StatePublished - Jun 1986

Keywords

  • Hubburd-Stratanovich transformation
  • Monte Carlo methods
  • quantum spin systems

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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