Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-04-21
Gen.Rel.Grav. 37 (2005) 1075-1096
Physics
High Energy Physics
High Energy Physics - Theory
35 pages, no figure
Scientific paper
10.1007/s10714-005-0092-1
We present a new point of view on the quantization of the massive gravitational field, namely we use exclusively the quantum framework of the second quantization. The Hilbert space of the many-gravitons system is a Fock space ${\cal F}^{+}({\sf H}_{\rm graviton})$ where the one-particle Hilbert space ${\sf H}_{graviton}$ carries the direct sum of two unitary irreducible representations of the Poincar\'e group corresponding to two particles of mass $m > 0$ and spins 2 and 0, respectively. This Hilbert space is canonically isomorphic to a space of the type $Ker(Q)/Im(Q)$ where $Q$ is a gauge charge defined in an extension of the Hilbert space ${\cal H}_{\rm graviton}$ generated by the gravitational field $h_{\mu\nu}$ and some ghosts fields $u_{\mu}, \tilde{u}_{\mu}$ (which are vector Fermi fields) and $v_{\mu}$ (which are vector field Bose fields.) Then we study the self interaction of massive gravity in the causal framework. We obtain a solution which goes smoothly to the zero-mass solution of linear quantum gravity up to a term depending on the bosonic ghost field. This solution depends on two real constants as it should be; these constants are related to the gravitational constant and the cosmological constant. In the second order of the perturbation theory we do not need a Higgs field, in sharp contrast to Yang-Mills theory.
Grigore Dan Radu
Scharf G"unter
No associations
LandOfFree
Massive gravity as a quantum 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 Massive gravity as a quantum gauge theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Massive gravity as a quantum gauge theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-18537