Deformations of extended objects with edges
classification
🧮 math-ph
gr-qcmath.MP
keywords
fluctuationsbulkdirac-nambu-gotoedgeedgesextendedobjectworldsheet
read the original abstract
We present a manifestly gauge covariant description of fluctuations of a relativistic extended object described by the Dirac-Nambu-Goto action with Dirac-Nambu-Goto loaded edges about a given classical solution. Whereas physical fluctuations of the bulk lie normal to its worldsheet, those on the edge possess an additional component directed into the bulk. These fluctuations couple in a non-trivial way involving the underlying geometrical structures associated with the worldsheet of the object and of its edge. We illustrate the formalism using as an example a string with massive point particles attached to its ends.
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