TL;DR
This paper presents a novel bosonization approach for four-dimensional fermion determinants, expressing them as path integrals over a constrained five-dimensional bosonic system, applicable in both continuum and lattice frameworks.
Contribution
It introduces a new method to represent 4D fermion determinants as 5D bosonic path integrals, bridging continuum and lattice theories.
Findings
Successful formulation of fermion determinants as bosonic path integrals.
Extension of bosonization techniques to four-dimensional theories.
Applicability demonstrated in both continuum and lattice models.
Abstract
A four dimensional fermion determinant is presented as a path integral of the exponent of a local five dimensional action describing constrained bosonic system. The construction is carried out both in the continuum theory and in the lattice model.
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