Infrared cutoffs and the adiabatic limit in noncommutative spacetime

2005/12/02 by Claus Doescher, Claus Döscher, Jochen Zahn · 10 citations
Mathematics · Physics and Astronomy · #Adiabatic process #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Cutoff #Formalism (music) #Infrared #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Minkowski space #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Physics #Quantum electrodynamics #Quantum mechanics #Spacetime #Theoretical physics #hep-th

paper · pdf · doi:10.1103/physrevd.73.045024

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 73(4) (American Physical Society) · 19 pages

arxiv created 2005/12/02 · openalex publication_date 2006/02/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We discuss appropriate infrared cutoffs and their adiabatic limit for field theories on the noncommutative Minkowski space in the Yang-Feldman formalism. In order to do this, we consider a mass term as interaction term. We show that an infrared cutoff can be defined quite analogously to the commutative case and that the adiabatic limit of the two-point function exists and coincides with the expectation, to all orders.

Citations

• New Concept of Relativistic Invariance in Noncommutative Space-Time: Twisted Poincaré Symmetry and Its Implications
• String theory and noncommutative geometry
• Strings in background electric field, space/time noncommutativity and a new noncritical string theory
• Time-ordered perturbation theory on non-commutative spacetime II: Unitarity
• Spin-statistics and CPT theorems in noncommutative field theory

Cited by

• Noncommutative (supersymmetric) electrodynamics in the Yang-Feldman formalism