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Lectures on quantization of gauge systems

Mathematical Physics 2015-05-19 v1 math.MP

Abstract

A gauge system is a classical field theory where among the fields there are connections in a principal G-bundle over the space-time manifold and the classical action is either invariant or transforms appropriately with respect to the action of the gauge group. The lectures are focused on the path integral quantization of such systems. Here two main examples of gauge systems are Yang-Mills and Chern-Simons.

Keywords

Cite

@article{arxiv.1008.1411,
  title  = {Lectures on quantization of gauge systems},
  author = {N. Reshetikhin},
  journal= {arXiv preprint arXiv:1008.1411},
  year   = {2015}
}

Comments

63 pages, 22 figures. Based on lectures given at the Summer School "New paths towards quantum gravity", Holbaek, Denmark, 2008

R2 v1 2026-06-21T15:58:22.920Z