Algebraic Spinors in Dirac Propagators As a Directed Random-walk
(1993) Journal of Mathematical Physics — Vol. 34, n° 10, p. 4590-4600 (1993)
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- Abstract
- The directed random walk representation of the Dirac propagator is presented using different algebraic spinor spaces. In particular, Majorana, 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 spinor space, the use of the Dirac propagator as the inverse of the generator of a Markov process in the McKane-Parisi-Sourlas theorem is suggested.
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Citations
Rodriguezromo, S. (1993). Algebraic Spinors in Dirac Propagators As a Directed Random-walk. Journal of Mathematical Physics, 34(10), 4590-4600. https://hdl.handle.net/2078.5/69997 (Original work published 1993)