Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-03-05
Phys.Lett. B432 (1998) 191-195
Physics
High Energy Physics
High Energy Physics - Theory
9 pages, Latex; added reference, minor comments added
Scientific paper
10.1016/S0370-2693(98)00602-9
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.
Fosco Cesar D.
Schaposnik Fidel A.
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