Exact bosonization for an interacting Fermi gas in arbitrary dimensions

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.

Basic equations are derived more carefully and in a simpler way

References in corpus (4)

• Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
• Supersymmetric low-energy theory and renormalization group for a clean Fermi gas with a repulsion in arbitrary dimensions
• Temperature dependence of the spin susceptibility of a clean Fermi gas with repulsion
• Cooper channel and the singularities in the thermodynamics of a Fermi liquid

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• Topological Origin of the Fermion Sign Problem
• Bosonization and Functional Renormalization Group Approach in the Framework of QED_2
• Effective Soft-Mode Theory of Strongly Interacting Fermions
• Describing systems of interacting fermions by boson models: exact mapping in arbitrary dimension and applications
• Low energy excitations and singular contributions in the thermodynamics of clean Fermi liquids
• Reckoning with the Mother of all non-Fermi liquids: alien bosonization vs predator holography
• Microscopic Mechanism of Pair-, Charge- and Spin-Density-Wave Instabilities in Interacting D-Dimensional Fermi Liquids
• Dimensional reduction of the Luttinger-Ward functional for spin-degenerate $D$-dimensional electron gases
• Comment on ``Exact bosonization for an interacting Fermi gas in arbitrary dimensions''