English

Exact bosonization for an interacting Fermi gas in arbitrary dimensions

Strongly Correlated Electrons 2015-05-13 v2 Statistical Mechanics

Abstract

We present an exact mapping of models of interacting fermions onto boson models. The bosons correspond to collective excitations in the initial fermionic models. This bosonization is applicable in any dimension and for any interaction between fermions. We show schematically how the mapping can be used for Monte Carlo calculations and argue that it should be free from the sign problem. Introducing superfields we derive a field theory that may serve as a new way of analytical study.

Keywords

Cite

@article{arxiv.0907.3243,
  title  = {Exact bosonization for an interacting Fermi gas in arbitrary dimensions},
  author = {K. B. Efetov and C. Pepin and H. Meier},
  journal= {arXiv preprint arXiv:0907.3243},
  year   = {2015}
}

Comments

Basic equations are derived more carefully and in a simpler way

R2 v1 2026-06-21T13:26:31.909Z