On singular Lagrangians affine in velocities
classification
🧮 math-ph
hep-thmath.MP
keywords
lagrangiansaffinegaugesingularvelocitiesanalysisanalyzedclassification
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The properties of Lagrangians affine in velocities are analyzed in a geometric way. These systems are necessarily singular and exhibit, in general, gauge invariance. The analysis of constraint functions and gauge symmetry leads us to a complete classification of such Lagrangians.
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