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arXiv · hep-th/9803045

Fermionic determinant as an overlap between bosonic vacua

C. D. Fosco·F. A. Schaposnik
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Abstract

We find a representation for the determinant of a Dirac operator in an even number $D= 2 n$ of Euclidean dimensions as an overlap between two different vacua, each one corresponding to a bosonic theory with a quadratic action in $2 n + 1$ dimensions, with identical kinetic terms, but differing in their mass terms. This resembles the overlap representation of a fermionic determinant (although bosonic fields are used here). This representation may find applications to lattice field theory, as an alternative to other bosonized representations for Dirac determinants already proposed.

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C. D. Fosco, F. A. Schaposnik. 1998-05-25. Fermionic determinant as an overlap between bosonic vacua. https://doi.org/10.1016/s0370-2693(98)00602-9

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