Nakanishi–Kugo–Ojima quantization of general relativity in Heisenberg picture

Invariant Hamiltonian Quantization of General Relativity

The quantization of General Relativity invariant with respect to time-reparametrizations is considered. We construct the Faddeev-Popov generating functional for the unitary perturbation theory in terms of invariants of the kinemetric group of diffeomorphisms of a frame of reference as a set of Einstein’s observers with the equivalent Hamiltonian description (t = t(t), x = x(t, x, x, x)). The al...

Hamiltonian quantization of general relativity with the change of signature.

We show in this article how the usual hamiltonian formalism of General Relativity should be modified in order to allow the inclusion of the Euclidean classical solutions of Einstein’s equations. We study the effect that the dynamical change of signature has on the superspace and we prove that it induces a passage of the signature of the supermetric from (−+++++) to (+−−−−−). Next, all these fea...

Path Integral Quantization of Quantum Gauge General Relativity

Path integral quantization of quantum gauge general relativity is discussed in this paper. First, we deduce the generating functional of green function with external fields. Based on this generating functional, the propagators of gravitational gauge field and related ghost field are deduced. Then, we calculate Feynman rules of various interaction vertices of three or four gravitational gauge fi...

Gauged Thirring Model in the Heisenberg Picture

We consider the (2+1)-dimensional gauged Thirring model in the Heisenberg picture. In this context we evaluate the vacuum polarization tensor as well as the corrected gauge boson propagator and address the issues of generation of mass and dynamics for the gauge boson (in the limits of QED3 and Thirring model as a gauge theory, respectively) due to the radiative corrections. On leave from Depart...

Quantum Field Theory in the Heisenberg Picture