Transactions in Theoretical and Mathematical Physics

Transactions in Theoretical and Mathematical Physics

Hamiltonian Formulation of Scalar Density Field Theory

Document Type : Original Article

Author
Department of Physics, Isfahan University of Technology, Isfahan, Iran
Abstract
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.
Keywords
Subjects

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Volume 2, Issue 1
Winter 2025
Pages 30-36

  • Receive Date 19 February 2025
  • Accept Date 26 February 2025
  • First Publish Date 26 February 2025
  • Publish Date 01 February 2025