S. Rodriguezromo, ALGEBRAIC SPINORS AND DIRECTED RANDOM-WALKS IN THE MCKANE-PARISI-SOURLAS THEOREM, International journal of theoretical physics, 32(9), 1993, pp. 1475-1480
We present the Dirac propagator as a random walk on an S(D-1) sphere f
or Majorana spinors, even spinor space, Dirac spinors, and Chevalley-C
rumeyrolle spinors built from Minkowski space. We propose the Dirac pr
opagator constructed from Chevalley-Crumeyrolle spinors as the generat
ors of a Markov process such that McKane-Parisi-Sourlas theorem can be
applied to calculate the expectation values for functions of local ti
mes.