Ten lectures on jet manifolds in classical and quantum field theory
Mathematical Physics
2007-05-23 v1 High Energy Physics - Theory
math.MP
Abstract
These Lectures summarize the relevant material on existent applications of jet manifold techniques to classical and quantum field theory. The following topics are included: 1. Fibre bundles, 2. Jet manifolds, 3. Connections, 4. Lagrangian field theory, 5. Gauge theory of principal connections, 6. Higher order jets, 7. Infinite order jets, 8. The variational bicomplex, 9. Geometry of simple graded manifolds, 10. Jets of ghosts and antifields.
Keywords
Cite
@article{arxiv.math-ph/0203040,
title = {Ten lectures on jet manifolds in classical and quantum field theory},
author = {G. Sardanashvily},
journal= {arXiv preprint arXiv:math-ph/0203040},
year = {2007}
}
Comments
77 pages