2009/07/31 by K. B. Efetov, C. Pépin, C. Pepin +2
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Boson #Bosonization #Cold Atom Physics and Bose-Einstein Condensates #Dimension (graph theory) #Electron #Fermi Gamma-ray Space Telescope #Fermi gas #Fermion #Field (mathematics) #Field theory (psychology) #Mathematical physics #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum electrodynamics #Quantum field theory #Quantum mechanics #Sign (mathematics) #Statistical physics #Theoretical physics #cond-mat.stat-mech #cond-mat.str-el
paper · pdf · doi:10.1103/physrevlett.103.186403
published as Phys. Rev. Lett. 103,186403 (2009) · Basic equations are derived more carefully and in a simpler way
arxiv created 2009/09/30 · openalex publication_date 2009/10/26 · arxiv updated 2015/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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. Introducing superfields, we derive a field theory that may serve as a new way of analytical study. We show schematically how the mapping can be used for Monte Carlo calculations and argue that it should be free from the sign problem.