Random waves in a classical nonlinear Grassmann field

S.J. Putterman and P.H. Roberts

Physica A: Statistical Mechanics and its Applications, 1985, vol. 131, issue 1, 51-63

Abstract: The classical kinetic equations (ref. 1) governing waves interacting according to Grassmann algebra are supplemented by terms representing a zero-point motion in all channels that does not lose energy to the thermal waves in any scattering process. It is shown that Fermi statistics result. When the thermal action is positive the only stable configuration has negative zero-point action. For coupled Grassmann and commuting fields, the solution of the classical equations with added stable zero-point action develops into a Planck distribution for the commuting field, and a Fermi distribution for the Grassmann field. The magnitude of the separate zero-point actions is shown to be equal.

Date: 1985
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:131:y:1985:i:1:p:51-63

DOI: 10.1016/0378-4371(85)90079-2

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