10 citations · 22 across the 20 of their papers we have counts for
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Representations of classical groups on the lattice and its application to the field theory on discrete space-time
M. Lorente
We explore the mathematical consequences of the assumption of a discrete space-time. The fundamental laws of physics have to be translated into the language of discrete mathematics…
Induced representations of Poincare group on the lattice: spin 1/2 and 1 case
M. Lorente, P. Kramer
Following standard methods we explore the construction of the discrete Poincare group, the semidirect product of discrete translations and integral Lorentz transformations, using t…
Discrete reflection groups and induced representations of Poincare group on the lattice
M. Lorente
We continue the program, presented in previous Symposia, of discretizing physical models. In particular we calculate the integral Lorentz transformations with the help of discrete…
Discrete Differential Geometry and Lattice Field Theory
M. Lorente
We develope a difference calculus analogous to the differential geometry by translating the forms and exterior derivatives to similar expressions with difference operators, and app…
A realistic interpretation of lattice gauge theories
M. Lorente
Following recent assumptions to unify quantum mechanics and general relativity, the structure of spacetime is suppose to be a consequence of the relations among some fundamental ob…
A relativistic invariant scheme for the quantum Klein-Gordon and Dirac fields on the lattice
M. Lorente
We explore the connection between the symmetry transformations and conservation laws for the Klein-Gordon and Dirac fields on the lattice. The generators of the space time translat…