2024/06/20 by Héctor A. Benítez, Benítez, Héctor A., René Negrón +1
Computer Science · #Computational Physics and Python Applications #FOS: Physical sciences #High Energy Physics - Theory (hep-th)
paper · pdf · doi:10.48550/arxiv.2406.14019
openalex publication_date 2024/06/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In the context of the Hamiltonian formulation of string theory, a widely acknowledged issue is the inability of the first-class constraints to accurately reproduce the Lagrangian symmetry transformations. We take a critical look at the Hamiltonian formulation of the Polyakov string and demonstrate, using Castellani's procedure, that diffeomorphism and Weyl symmetries naturally emerge without using any field-dependent reparametrization, thus preserving the theoretical consistency between Hamiltonian and Lagrangian descriptions. Additionally, we will review the standard Hamiltonian analysis of the symmetries in terms of lapse and shift functions and show that the reason behind this failure is not due to the non-canonicity of the variables but rather because this parametrization fails to preserve general covariance.