Fermionic determinant as an overlap between bosonic vacua
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 m...
Guardado en:
| Autores principales: | , |
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| Formato: | Articulo Preprint |
| Lenguaje: | Inglés |
| Publicado: |
1998
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| Materias: | |
| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/123128 https://www.sciencedirect.com/science/article/abs/pii/S0370269398006029?via%3Dihub |
| Aporte de: |
| Sumario: | 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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