A conformal group approach to the Dirac-Kahler system on the lattice

Autor(es)

Rodrigues Faustino, Nelson Jose

• Tipo de documento: Artigo Científico
• Fonte: MATHEMATICAL METHODS IN THE APPLIED SCIENCES; v. 40, n. 11, p. 4118-4127, JUL 30 2017.
• Citações Web of Science: 2

Resumo

Starting from the representation of the (n-1)+n-dimensional Lorentz pseudo-sphere on the projective space PRn,n, we propose a method to derive a class of solutions underlying to a Dirac-Kahler type equation on the lattice. We make use of the Cayley transform phi(w) to show that the resulting group representation arises from the same mathematical framework as the conformal group representation in terms of the general linear groupGL(n-1,n-1)[0]. That allows us to describe such class of solutions as a commutative n-ary product, involving the quasi-monomials phi with membership in the paravector space R circle plus Rejen+j. Copyright (c) 2016 John Wiley \& Sons, Ltd. (AU)

• Processo FAPESP: 13/07590-8 - Aplicações de Cálculo de Clifford discreto em teorias de campos quânticos
• Beneficiário: Nelson José Rodrigues Faustino
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado