A simple Grassmannian path integral representation of the Dirac propagator
DOI10.1063/1.527080zbMath0592.58004OpenAlexW2038410651MaRDI QIDQ3721456
Publication date: 1986
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.527080
Dirac equationNicolai mappingaffinely parametrized supersymmetric Dirac particle modelbosonic path integralGrassmannian path integral expression for the propagator of theGrassmannian path integral expression for the propagator of the Dirac equation
Path integrals in quantum mechanics (81S40) Applications of manifolds of mappings to the sciences (58D30) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)
Cites Work
- Dynamical breaking of supersymmetry
- The action option and a Feynman quantization of spinor fields in terms of ordinary \(C\)-numbers
- Supersymmetric Dirac particles in Riemann-Cartan space-time
- Particle spin dynamics as the Grassmann variant of classical mechanics
- Fermions without Fermions: The Nicolai Map Revisited
- Supersymmetry and the Atiyah-Singer index theorem
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