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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Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/123128 https://www.sciencedirect.com/science/article/abs/pii/S0370269398006029?via%3Dihub |
Aporte de: |
id |
I19-R120-10915-123128 |
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record_format |
dspace |
institution |
Universidad Nacional de La Plata |
institution_str |
I-19 |
repository_str |
R-120 |
collection |
SEDICI (UNLP) |
language |
Inglés |
topic |
Ciencias Exactas Física Dirac operator Euclidean geometry |
spellingShingle |
Ciencias Exactas Física Dirac operator Euclidean geometry Fosco, Cesar Daniel Schaposnik, Fidel Arturo Fermionic determinant as an overlap between bosonic vacua |
topic_facet |
Ciencias Exactas Física Dirac operator Euclidean geometry |
description |
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. |
format |
Articulo Preprint |
author |
Fosco, Cesar Daniel Schaposnik, Fidel Arturo |
author_facet |
Fosco, Cesar Daniel Schaposnik, Fidel Arturo |
author_sort |
Fosco, Cesar Daniel |
title |
Fermionic determinant as an overlap between bosonic vacua |
title_short |
Fermionic determinant as an overlap between bosonic vacua |
title_full |
Fermionic determinant as an overlap between bosonic vacua |
title_fullStr |
Fermionic determinant as an overlap between bosonic vacua |
title_full_unstemmed |
Fermionic determinant as an overlap between bosonic vacua |
title_sort |
fermionic determinant as an overlap between bosonic vacua |
publishDate |
1998 |
url |
http://sedici.unlp.edu.ar/handle/10915/123128 https://www.sciencedirect.com/science/article/abs/pii/S0370269398006029?via%3Dihub |
work_keys_str_mv |
AT foscocesardaniel fermionicdeterminantasanoverlapbetweenbosonicvacua AT schaposnikfidelarturo fermionicdeterminantasanoverlapbetweenbosonicvacua |
bdutipo_str |
Repositorios |
_version_ |
1764820449785544704 |