Ten lectures on jet manifolds in classical and quantum field theory

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.

77 pages

References in corpus (1)

• Cohomology of the variational complex in BRST theory

Cited by in corpus (5)

• Noether conservation laws issue from the gauge invariance of an Euler-Lagrange operator, but not a Lagrangian
• Difference Discrete Variational Principle in Discrete Mechanics and Symplectic Algorithm
• Lagrangian symmetries and supersymmetries depending on derivatives. Global analysis
• Quantum Jet Theory I: Free fields
• Lagrangian symmetries and supersymmetries depending on derivatives. Conservation laws and cohomology