General covariance and dynamics with a Gauss law

2023/12/11 by Husain, Viqar, Mehmood, Hassan · 2 citations
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2312.06079

Abstract

We present a 4-dimensional generally covariant gauge theory which leads to the Gauss constraint but lacks both the Hamiltonian and spatial diffeomorphism constraints. The canonical theory therefore resembles Yang-Mills theory without the Hamiltonian. We describe its observables, quantization, and some generalizations.

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• Husain-Kuchař model as the Carrollian limit of the Holst term
• Hidden diffeos in the Hamiltonian formulation of a background independent field theory

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