ITMP Seminar "Quantum Gravity on a Manifold with boundaries: Schrödinger Evolution and Constraints"

Dear Colleagues,

We are pleased to announce that the next ITMP seminar will be held on Wednesday, March 9, at 18:00 (Moscow time). It will be arranged in person in ITMP with the possibility to participate via zoom.

Speaker: Dr. Jose Alejandro Rosabal, ITMP MSU

Title: Quantum Gravity on a Manifold with boundaries: Schrödinger Evolution and Constraints

Abstract: In this work, we derive the boundary Schrödinger (functional) equation for the wave function of a quantum gravity system on a manifold with boundaries. From a detailed analysis of the gravity boundary condition on the spatial boundary, we find that while the lapse and the shift functions are independent Lagrange multipliers on the bulk, on the spatial boundary, these two are related; namely, they are not independent. In the Hamiltonian ADM formalism, a new Lagrange multiplier, solving the boundary conditions involving the lapse and the shift functions evaluated on the spatial boundary, is introduced. The classical equation of motion associated with this Lagrange multiplier turns out to be an identity when evaluated on a classical solution of Einstein’s equations. On the other hand, the quantum counterpart is a constraint equation involving the gravitational degrees of freedom defined only on the boundary. This constraint has not been taken into account before when studying the quantum gravity Schrödinger evolution on manifolds with boundaries.

If you want to join the seminar please register here before 16:00, March 9.

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