Superstatistics approach to path integral for a relativistic particle

Petr Jizba; Hagen Kleinert

doi:10.1103/physrevd.82.085016

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arXiv · 1007.3922

Superstatistics approach to path integral for a relativistic particle

Petr Jizba·Hagen Kleinert

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Abstract

Superstatistics permits the calculation of the Feynman propagator of a relativistic particle in a novel way from a superstatistical average over non-relativistic single-particle paths. We illustrate this for the Klein-Gordon particle in the Feshbach-Villars representation, and for the Dirac particle in the Schroedinger-Dirac representation. As a byproduct we recover the worldline representation of Klein-Gordon and Dirac propagators, and discuss the role of the smearing distributions in fixing the reparametrization freedom. The emergent relativity picture that follows from our approach together with a novel representation of the Lorentz group for the Feshbach-Villars particle are also discussed.

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BibTeX RIS

Petr Jizba, Hagen Kleinert. 2010-07-29. Superstatistics approach to path integral for a relativistic particle. https://doi.org/10.1103/physrevd.82.085016

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