Algebraic Spinors and Directed Random-walks in the Mckane-parisi-sourlas Theorem

Rodriguezromo, S.
(1993) International Journal of Theoretical Physics — Vol. 32, n° 9, p. 1475-1480 (1993)

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  • Rodriguezromo, S.
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Abstract
We present the Dirac propagator as a random walk on an S(D-1) sphere for Majorana spinors, even spinor space, Dirac spinors, and Chevalley-Crumeyrolle spinors built from Minkowski space. We propose the Dirac propagator constructed from Chevalley-Crumeyrolle spinors as the generators of a Markov process such that McKane-Parisi-Sourlas theorem can be applied to calculate the expectation values for functions of local times.
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Rodriguezromo, S. (1993). Algebraic Spinors and Directed Random-walks in the Mckane-parisi-sourlas Theorem. International Journal of Theoretical Physics, 32(9), 1475-1480. https://doi.org/10.1007/BF00672850 (Original work published 1993)