2015/11/10 by Giulia Gubitosi, Michele Arzano, João Magueijo +1
Mathematics · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Doubly special relativity #Four-force #Function (biology) #Geometry #Invariant (physics) #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Point (geometry) #Quantization (signal processing) #Quantum field theory #Theoretical physics #Theory of relativity #gr-qc
paper · pdf · doi:10.1103/physrevd.93.065027
published as Phys. Rev. D 93, 065027 (2016) · 5 pages, 1 figure
arxiv created 2015/11/10 · openalex publication_date 2016/03/11 · arxiv updated 2016/03/23 · openalex created_date 2017/04/07 · openalex updated_date 2026/08/05
We show that the two-point function of a quantum field theory with de Sitter momentum space (herein called DSR) can be expressed as the product of a standard delta function and an energy-dependent factor. The proportionality to a standard delta function is a nontrivial result valid in any theory without a preferred frame and relies crucially on the on-shellness condition. Different theories are distinguished by the specific form of the energy-dependent proportionality factor. Applied to models exhibiting running of the dimensionality of space, this result is essential in proving that vacuum fluctuations are generally scale invariant at high energies whenever there is running to two dimensions. This is equally true for theories with and without a preferred frame, with differences arising only as we consider higher order correlators. Specifically, the three-point function of DSR has a unique structure of ``open triangles,'' as shown here.