Wedge-Local Quantum Fields on a Nonconstant Noncommutative Spacetime

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.

References in corpus (11)

• String Theory and Noncommutative Geometry
• The quantum structure of spacetime at the Planck scale and quantum fields
• Renormalisation of ϕ^4-theory on noncommutative R^4 in the matrix base
• Renormalisation of ϕ^4-theory on noncommutative R^2 in the matrix base
• Polarization-Free Generators and the S-Matrix
• Warped Convolutions, Rieffel Deformations and the Construction of Quantum Field Theories
• Wedge-Local Quantum Fields and Noncommutative Minkowski Space
• Renormalisation of ϕ^4-theory on noncommutative R^4 to all orders
• Noncommutative Deformations of Wightman Quantum Field Theories
• Quantum Fields on the Groenewold-Moyal Plane: C, P, T and CPT
• Deformations of Fermionic Quantum Field Theories and Integrable Models

Cited by in corpus (11)

• Non-commutative Geometry from Perturbative Quantum Gravity
• On the equivalence of two deformation schemes in quantum field theory
• Quantum Mechanical Effects from Deformation Theory
• Index pairings for ${\mathbb{R}}^n$-actions and Rieffel deformations
• Self-Adjointness of Deformed Unbounded Operators
• Learning a Deep Model for Human Action Recognition from Novel Viewpoints
• Preconjugate variables in quantum field theory and their use
• Electromagnetism in terms of quantum measurements
• Strict deformations of quantum field theory in de Sitter spacetime
• Relativistic Corrections to the Moyal-Weyl Spacetime
• A Poincaré Covariant Noncommutative Spacetime?