Particles and Strings in Degenerate Metric Spaces

Details Particles and Strings in Degenerate Metric Spaces Particles and Strings in Degenerate Metric Spaces

1999-10-20

arxiv.org/abs/hep-th/9910163v1

Class.Quant.Grav. 17 (2000) 1577-1594

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, revtex

Scientific paper

10.1088/0264-9381/17/7/301

We consider relativistic and non-relativistic particles and strings in spaces (or space-times) with a degenerate metric. We show that the resulting dynamics is described by a rich structure of constraints. All constraints are classified and the dynamics depends strongly on the parity of the difference between the dimension of the space (or space-time) and the rank of the degenerate metric. For a particular class of degenerate metrics we can identify the null eigenvectors of the metric with its Killing vectors. We also give the first steps towards the quantization of the non-relativistic particle using the Senjanovic path integral quantization and the Batalin-Fradkin-Tyutin conversion method.

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