Articulo
A note on Gaussian integrals over para-Grassmann variables
Autor
Cugliandolo, Leticia Fernanda
Lozano, Gustavo Sergio
Moreno, Enrique Francisco
Schaposnik, Fidel Arturo
Institución
Resumen
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. Facultad de Ciencias Exactas