ALGEBRAIC SPINORS IN DIRAC PROPAGATORS AS A DIRECTED RANDOM-WALK

The directed random walk representation of the Dirac propagator is pre sented using different algebraic spinor spaces. In particular, Majoran a, Even, Dirac, and Chevalley-Crumeyrolle spinor spaces are used. For these cases, the spin connections were calculated and, from them, the gauge potentials. Moreover, for the Chevalley-Crumeyrolle algebraic sp inor space, the use of the Dirac propagator as the inverse of the gene rator of a Markov process in the McKane-Parisi-Sourlas theorem is sugg ested.