Gandalf Lechner (Vienna):

Wedge-local Quantum Fields and Interaction

Abstract:

In the construction of relativistic quantum field theories, field operators which are not point-localized, but rather localized in wedge-shaped regions of d-dimensional Minkowski space, are a novel tool. We present a family of concrete examples of such wedge-local quantum fields in 4-dimensional spacetime by making use of a correspondence between wedges and noncommutativity parameters. It is then discussed to which degree models formulated in terms of wedge-local fields comply with the principle of locality. One of our examples is closely related to the free field on non-commutative Minkowski space, which can also be understood as a wedge-local quantum field.

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