El Cuerpo
Académico de Partículas Campos y Relatividad General invita
cordialmente a su próximo seminario

__Lorentz-covariant
Hamiltonian analysis of BF gravity with the Immirzi
parameter__

M. C. Mariano Celada

CINVESTAV

Este
seminario se llevará a cabo en la

Sala de
Conferencias 111B/302

Facultad de Ciencias Físico Matemáticas – BUAP

Miércoles 19 de septiembre de 2012

12:00 hrs.

Resumen:

We perform the Lorentz-covariant Hamiltonian analysis
of two Lagrangian action principles that describe
general relativity as a constrained BF theory and that include the Immirzi parameter. The relation between these two Lagrangian actions has been already studied through a map
among the fields involved. The main difference between these is the way the Immirzi parameter is included, since in one of them the Immirzi parameter is included explicitly in the BF terms,
whereas in the other (the CMPR action) it is in the constraint on the B fields.
In this work we continue the analysis of their relationship but at the
Hamiltonian level. Particularly, we are interested in seeing how the above
difference appears in the constraint structure of both action principles. We
find that they both possess the same number of first-class and second-class
constraints and satisfy a very similar (off-shell) Poisson-bracket algebra on
account of the type of canonical variables employed. The two algebras can be
transformed into each other by making a suitable change of variables.