Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2010-01-15
Phys.Rev.D81:044015,2010
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
5 pages, accepted for publication in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.81.044015
The Hamiltonian formulation of the Holst action in presence of a massless fermion field with a non-minimal Lagrangian is performed without any restriction on the local Lorentz frame. It is outlined that the phase space structure does not resemble that one of a background independent Lorentz gauge theory, as some additional constraints are present. Proper phase space coordinates are introduced, such that SU(2) connections can be defined and the vanishing of conjugate momenta to boost variables is predicted. Finally, it is demonstrated that for a particular value of the non-minimal parameter the kinematics coincides with that one of a background independent SU(2) gauge theory and the Immirzi parameter becomes the coupling constant of such an interaction between fermions and the gravitational field.
Cianfrani Francesco
Montani Giovanni
No associations
LandOfFree
Gravity in presence of fermions as a SU(2) gauge theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Gravity in presence of fermions as a SU(2) gauge theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gravity in presence of fermions as a SU(2) gauge theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-357917