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

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

1998-04-27

arxiv.org/abs/cond-mat/9804290v1

Phys.Lett. A242 (1998) 271-276

Physics

Condensed Matter

Strongly Correlated Electrons

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

Scientific paper

10.1016/S0375-9601(98)00197-2

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.

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