Quantization of Maxwell’s Equations on Curved Backgrounds and General Local Covariance

Quantization on Curved Manifolds

Since the early days of quantum mechanics many techniques have been developed in order to deal with manifolds with non-trivial topology. Among them two techniques have received a great attention in the literature and are shortly reviewed here as they are most geometrical in nature. These are the Kostant–Souriau geometric quantization scheme and the so called constrained quantum mechanics. A not...

QED2 in Curved Backgrounds

Here we discuss the two dimensional quantum electrodynamics in curved spacetime, especially in the background of some black holes. We first show the existence of some new quantum mechanical solution which has interesting properties. Then for some special black holes we discuss the fermion-black hole scattering problem. The issue of confinement is intimately connected with these solutions and we...

Quantum Field Theory on Curved Backgrounds

Canonical quantization of non-local field equations

We consistently quantize a class of relativistic non-local field equations characterized by a non-local kinetic term in the lagrangian. We solve the classical non-local equations of motion for a scalar field and evaluate the on-shell hamiltonian. The quantization is realized by imposing Heisenberg’s equation which leads to the commutator algebra obeyed by the Fourier components of the field. We...

Vacuum decay in curved backgrounds

We evaluate the effect of gravity on the probability of vacuum decay through bubble nucleation for a scalar field in an arbitrary curved background up to first order in an expansion in powers of Rp’, where R is the scalar curvature of the background metric at the location of the bubble and p is the size of the bubble as it would appear in a flat space. The mechanism by which a scalar field in a...