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arXiv · 1004.4923

Hamiltonian Structure of Gauge-Invariant Variational Problems

Marco Castrillon Lopez·Jaime Munoz Masque
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Abstract

Let $C\to M$ be the bundle of connections of a principal bundle on $M$. The solutions to Hamilton-Cartan equations for a gauge-invariant Lagrangian density $Λ$ on $C$ satisfying a weak condition of regularity, are shown to admit an affine fibre-bundle structure over the set of solutions to Euler-Lagrange equations for $Λ$. This structure is also studied for the Jacobi fields and for the moduli space of extremals.

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Marco Castrillon Lopez, Jaime Munoz Masque. 2010-04-27. Hamiltonian Structure of Gauge-Invariant Variational Problems. https://arxiv.org/abs/1004.4923

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