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  A note on the principle of least action and Dirac matrices

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

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-A478-7 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0024-3680-7
Genre: Paper

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1209.0332v1.pdf (Preprint), 99KB
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Trzetrzelewski, M.1, Author              
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 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.

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 Dates: 2012-06-19
 Publication Status: Not specified
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 Identifiers: arXiv: 1209.0332
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