Principal Symbol of Euler-Lagrange Operators

Abstract

We shall introduce the principal symbol for Euler-Lagrange operators and use them to charac- terise well-posed initial value problems. We shall clarify how constraints can arise in Lagrangian covariant theories by extending the standard treatment in GR. Finally, we sketch a quantization procedure based on what done in LQG.

Some improvements

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Cited by in corpus (3)

• Constraining the Physical State by Symmetries
• Introduction to Loop Quantum Gravity. The Holst's action and the covariant formalism
• Lecture Notes in Loop Quantum Gravity. LN2: Cauchy problems and pre-quantum states