Novel definition of Grassmann numbers and spinor fields

2008/08/06 by Roman Sverdlov, Sverdlov, Roman · 2 citations
Computer Science · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Matrix Theory and Algorithms #Quantum and Classical Electrodynamics #gr-qc

paper · pdf · doi:10.48550/arxiv.0808.0756

11 pages, no figures

arxiv created 2009/05/25 · arxiv updated 2009/12/01

Abstract

The goal of this paper is to define fermionic field in terms of non-orthonormal vierbeins, where fluctuations away from orthonormality are viewed as fermionic field. Furthermore, Grassmann numbers are defined in a way that makes literal sense.

Citations

• A Geometrical Description of Spinor Fields

Cited by

• Quantum mechanics and gravity as preclusion principles of four dimensional geometries
• Non-linear corrections to Lagrangians predicted by causal set theory: Flat space bosonic toy model

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