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 [θp+1 = 0 with p = 1 (p > 1) for Grassmann (para-Grassmann) variables]. We show t...

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Autores principales:	Cugliandolo, L.F., Lozano, G.S., Moreno, E.F., Schaposnik, F.A.
Formato:	JOUR
Materias:	Para-Grassmann variables Path integrals article calculation mathematical computing mathematical model
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_0217751X_v19_n11_p1705_Cugliandolo
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	todo:paper_0217751X_v19_n11_p1705_Cugliandolo
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spelling	todo:paper_0217751X_v19_n11_p1705_Cugliandolo2023-10-03T15:10:33Z A note on Gaussian integrals over para-Grassmann variables Cugliandolo, L.F. Lozano, G.S. Moreno, E.F. Schaposnik, F.A. Para-Grassmann variables Path integrals article calculation mathematical computing mathematical model 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 [θp+1 = 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_0217751X_v19_n11_p1705_Cugliandolo
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Para-Grassmann variables Path integrals article calculation mathematical computing mathematical model
spellingShingle	Para-Grassmann variables Path integrals article calculation mathematical computing mathematical model Cugliandolo, L.F. Lozano, G.S. Moreno, E.F. Schaposnik, F.A. A note on Gaussian integrals over para-Grassmann variables
topic_facet	Para-Grassmann variables Path integrals article calculation mathematical computing mathematical model
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 [θp+1 = 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	JOUR
author	Cugliandolo, L.F. Lozano, G.S. Moreno, E.F. Schaposnik, F.A.
author_facet	Cugliandolo, L.F. Lozano, G.S. Moreno, E.F. Schaposnik, F.A.
author_sort	Cugliandolo, L.F.
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
url	http://hdl.handle.net/20.500.12110/paper_0217751X_v19_n11_p1705_Cugliandolo
work_keys_str_mv	AT cugliandololf anoteongaussianintegralsoverparagrassmannvariables AT lozanogs anoteongaussianintegralsoverparagrassmannvariables AT morenoef anoteongaussianintegralsoverparagrassmannvariables AT schaposnikfa anoteongaussianintegralsoverparagrassmannvariables AT cugliandololf noteongaussianintegralsoverparagrassmannvariables AT lozanogs noteongaussianintegralsoverparagrassmannvariables AT morenoef noteongaussianintegralsoverparagrassmannvariables AT schaposnikfa noteongaussianintegralsoverparagrassmannvariables
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A note on Gaussian integrals over para-Grassmann variables

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