A new nonGrassmannian pseudoclassical action for spin-1/2 particles
| Autor: | C I Belyea, B H J McKellar, R C Warner |
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| Rok vydání: | 1990 |
| Předmět: | |
| Zdroj: | Journal of Physics A: Mathematical and General. 23:509-519 |
| ISSN: | 1361-6447 0305-4470 |
| DOI: | 10.1088/0305-4470/23/4/019 |
| Popis: | The first-quantised 'spinor chain' path-integral description of spin-1/2 particles due to Jacobson (1984) is a novel non-Grassmannian approach to the problem of finding a path integral which yields the Dirac or Weyl equation. Unlike conventional path integrals, the spinor chain description does not explicitly use a path integral of the form integral exp iS, instead summing over all contributing spinor chains (paths) with equal weight, and hence the question of the existence of a canonical pseudoclassical action is left open. The authors examine the possibility of recasting the spinor chain system in the form of an action, and show that this involves subtleties concerning the weighting of unruly paths. They find the true action corresponding to the spinor chain which when canonically quantised yields the Weyl equation. Their action is extendable to the problem of the massive Dirac equation in a manner unlike the spinor chain. They discuss the classical solutions and compare these new actions with a similar non-Grassmannian action due to Barut and co-workers (1989). |
| Databáze: | OpenAIRE |
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