Wedge-Local Quantum Fields on a Nonconstant Noncommutative Spacetime

TL;DR

This paper constructs wedge-local quantum fields on a nonconstant noncommutative spacetime by deforming a free scalar field using special conformal transformations, revealing new insights into noncommutative geometry in quantum field theory.

Contribution

It introduces a novel deformation method using special conformal transformations to produce wedge-local fields on a nonconstant noncommutative spacetime.

Findings

Deformed fields are wedge-local.

Spacetime becomes nonconstant noncommutative after deformation.

Explicit calculation of deformed coordinate commutators.

Abstract

Within the framework of warped convolutions we deform the massless free scalar field. The deformation is performed by using the generators of the special conformal transformations. The investigation shows that the deformed field turns out to be wedge-local. Furthermore, it is shown that the spacetime induced by the deformation with the special conformal operators is nonconstant noncommutative. The noncommutativity is obtained by calculating the deformed commutator of the coordinates.