English

A discrete Hubbard-Stratonovich decomposition for general, fermionic two-body interactions

Strongly Correlated Electrons 2009-10-31 v1 Nuclear Theory

Abstract

A scheme is presented to decompose the exponential of a two-body operator in a discrete sum over exponentials of one-body operators. This discrete decomposition can be used instead of the Hubbard-Stratonovich transformation in auxiliary-field quantum Monte-Carlo methods. As an illustration, the decomposition is applied to the Hubbard model, where it is equivalent to the discrete Hubbard-Stratonovich transformation introduced by Hirsch, and to the nuclear pairing Hamiltonian.

Keywords

Cite

@article{arxiv.cond-mat/9804290,
  title  = {A discrete Hubbard-Stratonovich decomposition for general, fermionic two-body interactions},
  author = {S. Rombouts and K. Heyde and N. Jachowicz},
  journal= {arXiv preprint arXiv:cond-mat/9804290},
  year   = {2009}
}

Comments

8 pages, includes 2 eps figures, to appear in Phys. Lett. A

R2 v1 2026-07-22T12:03:35.051Z