Divergences in formal variational calculus and boundary terms in Hamiltonian formalism
Vladimir O. Soloviev
TL;DR
This paper extends formal variational calculus to include divergence integrals, enabling the analysis of boundary problems in field theory within the Hamiltonian formalism.
Contribution
It introduces a generalization of variational calculus that incorporates divergence integrals, facilitating the study of boundary issues in Hamiltonian field theories.
Findings
Extended variational calculus to include divergence integrals.
Enabled analysis of nontrivial boundary problems in field theory.
Provided a framework for boundary term considerations in Hamiltonian formalism.
Abstract
It is shown how to extend the formal variational calculus in order to incorporate integrals of divergences into it. Such a generalization permits to study nontrivial boundary problems in field theory on the base of canonical formalism.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Nonlinear Waves and Solitons · Homotopy and Cohomology in Algebraic Topology