Quantum Gravity and String Theory


Dynamics of the Gravity Field

Authors: Malik Matwi

We derive the canonical momentum of the gravity field. Then we use it to derive the path integral of the gravity field. The canonical momentum is represented in Lorentz group. We derive it from the holonomy U(A) of the connection A of Lorentz group. We derive the path integral of gravity field as known in quantum fields theory and discuss the situation of free gravity field (like electromagnetic field). We find that this situation is only in the background spacetime, weak gravity, the situation of low matter density. We search for a theory in which the gravity field is a dynamical at any energy in arbitrary curved spacetime. For that, we suggest a duality gravity-area. That duality lets to possibility to study both gravity and area as dynamical fields in arbitrary curved spacetime. We find that the area field exists in the space-like and the gravity field exists in the time-like. We find that the tensor product of gravity and area fields, in selfdual representation, satisfies the reality condition. We derive the static potential of exchanging gravitons in scalar and spinor fields, the Newtonian gravitational potential.

Comments: 37 Pages. Damascus University, Syria.

Download: PDF

Submission history

[v1] 2017-08-26 11:05:58
[v2] 2017-09-30 10:50:20
[v3] 2017-12-28 13:37:41

Unique-IP document downloads: 101 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus