A note on Gaussian integrals over para-Grassmann variables

We discuss the generalization of the connection between the determinant of an operator entering a quadratic form and the associated Gaussian path-integral valid for Grassmann variables to the para-Grassmann case [θ<sup>p+1</sup> = 0 with p = 1 (p > 1) for Grassmann (para-Grassmann) va...

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Autores principales: Cugliandolo, Leticia Fernanda, Lozano, Gustavo Sergio, Moreno, Enrique Francisco, Schaposnik, Fidel Arturo
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2004
Materias:
Física
Para-Grassmann variables
Path integrals
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/100957
https://ri.conicet.gov.ar/11336/73421
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-100957
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Para-Grassmann variables
Path integrals
spellingShingle Física
Para-Grassmann variables
Path integrals
Cugliandolo, Leticia Fernanda
Lozano, Gustavo Sergio
Moreno, Enrique Francisco
Schaposnik, Fidel Arturo
A note on Gaussian integrals over para-Grassmann variables
topic_facet Física
Para-Grassmann variables
Path integrals
description We discuss the generalization of the connection between the determinant of an operator entering a quadratic form and the associated Gaussian path-integral valid for Grassmann variables to the para-Grassmann case [θ<sup>p+1</sup> = 0 with p = 1 (p > 1) for Grassmann (para-Grassmann) variables]. We show that the q-deformed commutation relations of the para-Grassmann variables lead naturally to consider q-deformed quadratic forms related to multiparametric deformations of GL(n) and their corresponding q-determinants. We suggest a possible application to the study of disordered systems.
format Articulo
Preprint
author Cugliandolo, Leticia Fernanda
Lozano, Gustavo Sergio
Moreno, Enrique Francisco
Schaposnik, Fidel Arturo
author_facet Cugliandolo, Leticia Fernanda
Lozano, Gustavo Sergio
Moreno, Enrique Francisco
Schaposnik, Fidel Arturo
author_sort Cugliandolo, Leticia Fernanda
title A note on Gaussian integrals over para-Grassmann variables
title_short A note on Gaussian integrals over para-Grassmann variables
title_full A note on Gaussian integrals over para-Grassmann variables
title_fullStr A note on Gaussian integrals over para-Grassmann variables
title_full_unstemmed A note on Gaussian integrals over para-Grassmann variables
title_sort note on gaussian integrals over para-grassmann variables
publishDate 2004
url http://sedici.unlp.edu.ar/handle/10915/100957
https://ri.conicet.gov.ar/11336/73421
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