Gabriele Nosari on February 12, 2015
Slides (external link)
The Casimir effect requires a complete axiomatic description in terms of the algebraic approach to quantum field theory. When the confinement of a field between two parallel plates is described as a boundary condition on the field configurations, the dynamics of the underlying system cannot be described in terms of a initial value problem on globally hyperbolic spacetimes. This calls on the one hand for an ad hoc construction of the field algebra, which partially recovers the usual one, based on a causal propagator. On the other hand, an adapted definition of the Hadamard property is needed, in order to recover a coherent regularization scheme and all known expectation values of the energy, characterizing the Casimir effect. In this talk, all these issues will be addressed.
The Casimir effect from the point of view of algebraic quantum field theory