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...

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Detalles Bibliográficos
Autores principales:	Fosco, Cesar Daniel, Schaposnik, Fidel Arturo
Formato:	Articulo Preprint
Lenguaje:	Inglés
Publicado:	1998
Materias:	Ciencias Exactas Física Dirac operator Euclidean geometry
Acceso en línea:	http://sedici.unlp.edu.ar/handle/10915/123128 https://www.sciencedirect.com/science/article/abs/pii/S0370269398006029?via%3Dihub
Aporte de:	SEDICI (UNLP) de Universidad Nacional de La Plata

id	I19-R120-10915-123128
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
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Fermionic determinant as an overlap between bosonic vacua

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