Speaker
Christoph Minz
(Universität Leipzig, ITP)
Description
Geometric quantization is a natural way to construct a quantization map over classical field data that is given as a symplectic manifold with an inner product (a Riemannian metic). This yields a (non-commutative) quantum algebra that can be equipped with a state determined by a map dual to the quantization. We investigated this technique for a free scalar field on a causal set (locally finite, partially ordered set) and showed that the associated state coincides with the Sorkin-Johnston state in causal set theory. Our mathematical construction suggests a natural generalization to less linear examples, such as interacting fields. This is based on joint work with Eli Hawkins and Kasia Rejzner (arXiv:2207.05667).
