|
|
Departamento de Gravitación y Teoría de CamposSeminarios 2014 |
|
Instituto de Ciencias Nucleares, UNAM |
|
|
Departamento de Gravitación y Teoría de CamposSeminarios 2014 |
|
Instituto de Ciencias Nucleares, UNAM |
Jueves 27 de noviembre, a las 17:00 hrs en la Sala de Seminarios A2.25, 2. piso del ICN
José Antonio Zapata (UNAM, Morelia)
A classical prequel for spin foam models
| The transfer matrix in lattice field theory connects the covariant and the initial data frameworks; in spin foam models, it can be written as a composition of elementary cellular amplitudes/propagators. We present a framework for discrete spacetime classical field theory in which solutions to the field equations over elementary spacetime cells may be amalgamated if they satisfy simple gluing conditions matching the composition rules of cellular amplitudes in spin foam models. Furthermore, the formalism is endowed with a multisymplectic structure responsible for local conservation laws. In the case of gauge theories this generalizes the Kogut-Suskind hamiltonian formulation of lattice gauge theory. Some models within our framework are effective theories modeling a system at a given scale. Our framework allows us to study coarse graining and the continuum limit. |
