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.
Registro:
| Documento: |
Artículo
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| Título: | A note on Gaussian integrals over para-Grassmann variables |
| Autor: | Cugliandolo, L.F.; Lozano, G.S.; Moreno, E.F.; Schaposnik, F.A. |
| Filiación: | Lab. de Physique Théorique, Ecole Normale Supérieure, 24 rue Lhomond, 75231 Paris Cédex 05, France
Lab. Phys. Theor. Hautes Energies J., Tour 16, 4 Place Jussieu, 75252 Paris Cédex 05, France
Departamento de Física, FCEyN, Ciudad Universitaria, Buenos Aires, Argentina
Departamento de Física, Universidad Nacional de La Plata, C. C. 67, 1900 La Plata, Argentina
Conicet, Argentina
CICPBA, Argentina
|
| Palabras clave: | Para-Grassmann variables; Path integrals; article; calculation; mathematical computing; mathematical model |
| Año: | 2004
|
| Volumen: | 19
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| Número: | 11
|
| Página de inicio: | 1705
|
| Página de fin: | 1714
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| DOI: |
http://dx.doi.org/10.1142/S0217751X04018506 |
| Título revista: | International Journal of Modern Physics A
|
| Título revista abreviado: | Int. J. Mod. Phys. A
|
| ISSN: | 0217751X
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| CODEN: | IMPAE
|
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0217751X_v19_n11_p1705_Cugliandolo |
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Citas:
---------- APA ----------
Cugliandolo, L.F., Lozano, G.S., Moreno, E.F. & Schaposnik, F.A.
(2004)
. A note on Gaussian integrals over para-Grassmann variables. International Journal of Modern Physics A, 19(11), 1705-1714.
http://dx.doi.org/10.1142/S0217751X04018506---------- CHICAGO ----------
Cugliandolo, L.F., Lozano, G.S., Moreno, E.F., Schaposnik, F.A.
"A note on Gaussian integrals over para-Grassmann variables"
. International Journal of Modern Physics A 19, no. 11
(2004) : 1705-1714.
http://dx.doi.org/10.1142/S0217751X04018506---------- MLA ----------
Cugliandolo, L.F., Lozano, G.S., Moreno, E.F., Schaposnik, F.A.
"A note on Gaussian integrals over para-Grassmann variables"
. International Journal of Modern Physics A, vol. 19, no. 11, 2004, pp. 1705-1714.
http://dx.doi.org/10.1142/S0217751X04018506---------- VANCOUVER ----------
Cugliandolo, L.F., Lozano, G.S., Moreno, E.F., Schaposnik, F.A. A note on Gaussian integrals over para-Grassmann variables. Int. J. Mod. Phys. A. 2004;19(11):1705-1714.
http://dx.doi.org/10.1142/S0217751X04018506
