Quantum Gravity and String Theory


The 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 the Lorentz group. We derive the path integral of the gravity field as known in the quantum fields theory and discuss the situation of the free gravity field(like the electromagnetic field). We find that situation is only in the background spacetime, the weak gravity situation. We search for a theory in which the gravity field is a dynamical at any energy in arbitrary curved spacetime. For that, we suggest the duality gravity-area. That duality lets to the possibility to study the both 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 the 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: 32 Pages.

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Submission history

[v1] 2017-08-26 11:05:58

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