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AbstractAbstract
[en] Using Dirac-Kaehler techniques we formulate some supersymmetric models on the lattice. Specifically we consider the Wess-Zumino model with N=2 in two dimensions which is formulated on a space lattice in its Hamiltonian version (continuous time) as well as on the space-time lattice in its Lagrangean version (euclidean space). On the space lattice (Hamiltonian formulation) we study also the supersymmetric Yanh-Mills model with N=4 in four dimensions. After the introduction of lattice covariant derivatives for fields in the adjoint representation of a compact group we write down some new relations which we have obtained and which constitute generalizations on the lattice of those which are known in the continuous case. (author)
[pt]
Usando tecnicas de Dirac-Kahler formulamos na rede alguns modelos superimetricos. Em particular consideramos o modelo de Wess-Zumino com N=2 a duas dimensoes que e formulado na rede espacial em sua versao Hamiltoniana (tempo continuo) e na rede espaco-temporal em sua versao Lagrangeana (espaco euclideano). Na rede espacial (formulacao Hamiltoniana) estudamos ainda o modelo de Yang-Mills supersimetrico com N=4 a quatro dimensoes. Apos a introducao das derivadas covariantes na rede para campos na representacao adjunta de um grupo compacto escrevemos varias novas relacoes por nos obtidas e que constituem generalizacoes na rede daquelas ja conhecidas no caso continuo. (autor)Original Title
Aplicacao a modelos supersimetricos do formalismo de Dirac-Kaehler na rede
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1987; 73 p; Tese (Ph.D.).
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Miscellaneous
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Thesis/Dissertation
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