3 papers
gr-qc2026
Lecture Notes in Loop Quantum Gravity. LN4: Hamiltonian framework
Lorenzo Fatibene, Marco Ferraris, Andrea Orizzonte
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…
gr-qc2025
Lecture Notes in Loop Quantum Gravity. LN3: Boundary equations for Ashtekar-Barbero-Immirzi model
L. Fatibene, A. Orizzonte
We shall here perform the canonical analysis of field equations of ABI model in order to determine constraint equations. We shall show that one can use algebraic constraints in the…
gr-qc2024
Lecture Notes in Loop Quantum Gravity. LN2: Cauchy problems and pre-quantum states
S. Coriasco, L. Fatibene, S. Garruto +1
We discuss the structure of covariant equations, relating analytical properties of solutions to algebraic properties of the corresponding differential operator, specifically of its…