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A note on the principle of least action and Dirac matrices

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Trzetrzelewski,  M.
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1209.0332v1.pdf
(Preprint), 99KB

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Citation

Trzetrzelewski, M. (in preparation). A note on the principle of least action and Dirac matrices.


Cite as: https://hdl.handle.net/11858/00-001M-0000-000F-A478-7
Abstract
Many Lagrangians of physical theories can be expressed as eigenvalues of certain, relatively simple, matrices involving Dirac gamma matrices. We give concrete examples for Lagrangian corresponding to a point particle coupled to electromagnetic field, electrodynamics, nonabelian gauge theories, extended objects and gravity. We also discuss (in case of a point particle) what are the implications of the least action principle applied to matrix Lagrangians.