English

General covariance and dynamics with a Gauss law

General Relativity and Quantum Cosmology 2024-02-23 v2 High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.2312.06079,
  title  = {General covariance and dynamics with a Gauss law},
  author = {Viqar Husain and Hassan Mehmood},
  journal= {arXiv preprint arXiv:2312.06079},
  year   = {2024}
}

Comments

8 pages; explanation of missing constraints added; version to appear in Phys. Rev. D