A NOTE ON GAUSSIAN INTEGRALS OVER PARA-GRASSMANN VARIABLES-Reference-Cited by-同舟云学术

A NOTE ON GAUSSIAN INTEGRALS OVER PARA-GRASSMANN VARIABLES

Published:2004-04-30 Issue:11 Volume:19 Page:1705-1714
ISSN:0217-751X
Container-title:International Journal of Modern Physics A
language:en
Short-container-title:Int. J. Mod. Phys. A

Author:

CUGLIANDOLO LETICIA F.¹²,LOZANO G. S.³,MORENO E. F.⁴,SCHAPOSNIK F. A.⁴

Affiliation:

1. Laboratoire de Physique Théorique de l'Ecole Normale Supérieure, 24 rue Lhomond, 75231 Paris Cédex 05, France

2. Laboratoire de Physique Théorique et Hautes Energies Jussieu, Tour 16, 1er étage, 4 Place Jussieu, 75252 Paris Cédex 05, France

3. Departamento de Física, FCEyN, Universidad de Buenos Aires, Pab. 1, Ciudad Universitaria, Buenos Aires, Argentina

4. Departamento de Física, Universidad Nacional de La Plata, C.C. 67, 1900 La Plata, Argentina

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217751X04018506

Reference11 articles.

1. Quantum group generalization of the heterotic QFT

2. FRACTIONAL SUPERSPACE FORMULATION OF GENERALIZED MECHANICS

3. PARAGRASSMANN ANALYSIS AND QUANTUM GROUPS

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