Quantum Gravity effects in a symmetry reduced system

por Iñaki Garay (Instituto de Estructura de la Materia (CSIC), Madrid)

miércoles 23 abr. 2008 12:00 → 13:00 Europe/Madrid

Sala Seminarios (Dpto. de Física Teórica (UVEG))

Gravity coupled to a massless scalar field with full cylindrical symmetry can be exactly quantized by an extension of the techniques used for Einstein-Rosen waves. We will obtain the quantum Hamiltonian operator and the unitary evolution operator for this gravitational system. Afterwards, we will use it as a testbed to discuss a number of issues in quantum general relativity. Specifically, we will study two-point functions and radial wave functions for one-particle states. Some interesting effects appear such as the emergence of null geodesics, the large probability amplitude to find the particles near the axis of symmetry... To conclude, we will discuss also the possibility of constructing coherent states for this model.