Quantization of fluctuations in deformed special relativity: The twopoint function and beyond
Abstract
We show that the twopoint 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 energydependent 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 onshellness condition. Different theories are distinguished by the specific form of the energydependent 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 threepoint function of DSR has a unique structure of "open triangles," as shown here.
 Publication:

Physical Review D
 Pub Date:
 March 2016
 DOI:
 10.1103/PhysRevD.93.065027
 arXiv:
 arXiv:1511.03191
 Bibcode:
 2016PhRvD..93f5027G
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 5 pages, 1 figure