In the ADM formalism, spacetime is foliated by spacelike hypersurfaces, dividing spacetime into space and time. In this formalism, the evolution of fields can be separated into evolution on these hypersurfaces and evolution from one hypersurface to the next. Teitelboim showed that by solving the algebra of the generators under certain assumptions, the Hamiltonian of scalar field, Maxwell's field, and general relativity can be obtained \cite{1}. In this paper, we solve this algebra for scalar density field theory in arbitrary curved spacetime and demonstrate that scalar density fields with weights zero and one are permissible within the Hamiltonian formalism.
Shariati Joni,A. (2025). Hamiltonian Formulation of Scalar Density Field Theory. Transactions in Theoretical and Mathematical Physics, 2(1), 30-36. doi: 10.30511/ttmp.2025.2053874.1049
MLA
Shariati Joni,A. . "Hamiltonian Formulation of Scalar Density Field Theory", Transactions in Theoretical and Mathematical Physics, 2, 1, 2025, 30-36. doi: 10.30511/ttmp.2025.2053874.1049
HARVARD
Shariati Joni A. (2025). 'Hamiltonian Formulation of Scalar Density Field Theory', Transactions in Theoretical and Mathematical Physics, 2(1), pp. 30-36. doi: 10.30511/ttmp.2025.2053874.1049
CHICAGO
A. Shariati Joni, "Hamiltonian Formulation of Scalar Density Field Theory," Transactions in Theoretical and Mathematical Physics, 2 1 (2025): 30-36, doi: 10.30511/ttmp.2025.2053874.1049
VANCOUVER
Shariati Joni A. Hamiltonian Formulation of Scalar Density Field Theory. TTMP, 2025; 2(1): 30-36. doi: 10.30511/ttmp.2025.2053874.1049
