Lecture Notes in Loop Quantum Gravity. LN4: Hamiltonian framework
Lorenzo Fatibene, Marco Ferraris, Andrea Orizzonte
TL;DR
This paper develops a covariant Hamiltonian formalism applicable across various physical theories, including mechanics, electromagnetism, and gravity, highlighting its foundational properties and unifying approach.
Contribution
It introduces a covariant Hamiltonian framework that unifies the Hamiltonian formalism across multiple relativistic and non-relativistic theories.
Findings
Unified covariant Hamiltonian formalism for diverse theories
Properties of Hamilton principal functional analyzed in different contexts
Framework applicable to gravity and gauge theories
Abstract
We discuss a covariant setting for Hamiltonian formalism in a relativistic field theory and we use this to obtain again the properties of Hamilton principal functional in Newtonian mechanics, relativistic mechanics, Klein-Gordon, electromagnetism, and Ashtekar-Barbero-Immirzi gravitational theory.
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Taxonomy
TopicsNoncommutative and Quantum Gravity Theories · Black Holes and Theoretical Physics · Advanced Differential Geometry Research