1994/11/13 by G. Sardanashvily, Sardanashvily, G.
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Geometric and Algebraic Topology #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Quantum chaos and dynamical systems #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9411089
total 113 pp, LaTeX file
arxiv created 1994/11/13 · openalex publication_date 1994/11/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The fibre bundle formulation of gauge theory is generally accepted. The jet manifold machinery completes this formulation and provides the adequate mathematical description of dynamics of fields represented by sections of fibre bundles. Theory of differential operators, Lagrangian and Hamiltonian formalisms on bundles have utilized widely the language of jet manifolds. Moreover, when not restricted to principal connections, differential geometry also is phrased in jet terms. However, this powerful tool remains almost unknown to physicists. These Lectures give introduction to jet manifolds, Lagrangian and Hamiltonian formalisms in jet manifolds and their application to a number of fundamental field models.