Dynamics of the spinning particle in one dimension
W. Machin
TL;DR
This paper derives the most general one-dimensional N=1 supersymmetric Lagrangian for a spinning particle, analyzes its constraints, and explores its Dirac quantization, advancing understanding of supersymmetric particle models.
Contribution
It introduces the comprehensive N=1 supersymmetric Lagrangian for the spinning particle and examines its quantization, filling gaps in the theoretical framework.
Findings
Derived the most general N=1 Lagrangian for the spinning particle
Analyzed the system's constraints in detail
Investigated the Dirac quantization process
Abstract
The most general N=1 Lagrangian for the spinning particle with local supersymmetry is found and the constraints of the system are analysed. The Dirac quantisation of the model is also investigated.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Noncommutative and Quantum Gravity Theories