Covariant Differential and Integral Calculi for Lattice (l,q)-deformed Fields

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dc.creatorBugrij, A.
dc.creatorRubtsov, V.
dc.creatorShadura, V.
dc.date1995-01-09
dc.date.accessioned2026-07-07T09:16:27Z
dc.date.available2026-07-07T09:16:27Z
dc.descriptionUsing the Hecke $\hat R$-matrix, we give a definition of the lattice $(l,q)$-deformed $n$-component boson and Grassmann fields. Here $l$ is a deformation parameter for the commutation relations of "values" of these fields in two arbitrary lattice sites and $q$ is a deformation parameter for $n$-component $q$-boson or $q$-Grassmann variable. In framework of the Wess-Zumino approach to the noncommutative differential calculus the commutation relations between differentials and derivatives of these fields are determined. The $SL_q(n,C)$-invariant generalization of the Berezin integration for the lattice $n$-component $(l,q)$-Grassmann field is suggested. We show that the Gaussian functional integral for this field is expressed through the $(l,q)$-deformed counterpart of the Pfaffian.
dc.description23 pages, Amstex
dc.identifierhttps://arxiv.org/abs/q-alg/9501008
dc.identifierhttp://arxiv.org/abs/q-alg/9501008
dc.identifierHadronic J. 20 (1997) 191-211
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153359
dc.subjectQuantum Algebra
dc.subjectCondensed Matter
dc.subjectHigh Energy Physics - Theory
dc.titleCovariant Differential and Integral Calculi for Lattice (l,q)-deformed Fields
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