General connection between time-local and time-nonlocal perturbation expansions

On connection between "Continuous time"

A General Categorical Connection between Local Event Structures and Local Traces

Local event structures and local traces are generalizations of the classical prime event structures and Mazurkiewicz’ traces in which independence is no longer a global binary property. We consider the problem of lifting the categorical connection between prime event structures and Mazurkiewicz’ traces to this more general setting. Using a generic approach it is shown how certain subcategories ...

Time ordered perturbation theory for non - local interactions ; applications to

In the past decades, time ordered perturbation theory was very successful in describing relativistic scattering processes. It was developed for local quantum field theories. However , there are field theories which are governed by non-local interactions, for example non-commutative quantum field theory (NCQFT). Filk [1] first studied NCQFT perturbatively obtaining the usual Feynman propagator a...

Complementarity between local and nonlocal topological effects

In certain topological effects the accumulation of a quantum phase shift is accompanied by a local observable effect. We show that such effects manifest a complementarity between nonlocal and local attributes of the topology, which is reminiscent but different from the usual wave-particle complementarity. This complementarity is not a consequence of noncommutativity, rather it is due to the non...

Connection between Space-Time Supersymmetry and Non-Commutative Geometry

The non-commutative geometric construction of A. Connes [1-5] has been successful in giving a geometrical interpretation of the standard model as well as some grand unification models. Our lack of ability to quantize the non-commutative actions forced on us to quantize the classical actions resulting from the non-commutative ones by adopting the usual rules. The symmetries that might be present...