TL;DR
This paper presents a novel method to represent a D-dimensional fermion determinant as a path integral of a (D+1)-dimensional Hermitian bosonic action, revealing a Fermi-Bose duality through an extra dimension.
Contribution
It introduces a new representation linking fermionic determinants to bosonic path integrals in higher dimensions, highlighting Fermi-Bose duality.
Findings
Fermion determinants can be expressed as bosonic path integrals in higher dimensions.
Establishes a duality between fermionic and bosonic formulations via an extra dimension.
Provides a mathematical framework for Fermi-Bose duality in quantum field theories.
Abstract
Representation of a -dimensional fermion determinant as a path integral of exponent of a -dimensional Hermitean bosonic action is constructed.
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