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.
Información general
Fecha de publicación:diciembre 2004
Idioma del documento:Inglés
Revista:International Journal of Modern Physics A; vol. 19, no. 11
Institución de origen:Facultad de Ciencias Exactas
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