Hidden diffeos in the Hamiltonian formulation of a background independent field theory

2025/07/16 by J. Fernando Barbero G., G., J. Fernando Barbero, Bogar Díaz +5
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Physics (math-ph) #Numerical methods for differential equations #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.2507.12184

openalex publication_date 2025/07/16 · openalex created_date 2025/10/09 · openalex updated_date 2026/07/29

Abstract

We analyze from a geometric perspective the Hamiltonian formulation of a recent modification of the Husain-Kuchař model where, while preserving the connection as a dynamical variable, the other field is restricted to be the exterior covariant derivative of a Lie algebra-valued function. We prove that 3-dimensional diffeomorphisms can be accommodated among the local gauge transformations of the model in addition to the internal gauge symmetries.

Citations

• General covariance and dynamics with a Gauss law
• Quantization of Gauge Systems

Related

• Husain-Kuchař model as the Carrollian limit of the Holst term
• General covariance and dynamics with a Gauss law
• Dynamical Poincare Symmetry Realized by Field-dependent Diffeomorphisms
• The Hidden Spatial Geometry of Non-Abelian Gauge Theories
• The Diffeomorphism Field Revisited