Induced Lorentz violation on a moving braneworld
Abstract
We consider a braneworld scenario in which a flat 4D brane, embedded in M3 ,1×S1 , is moving on or spiraling around the S1. Although the induced metric on the brane is 4D Minkowski, the would-be Lorentz symmetry of the brane is broken globally by the compactification. As recently pointed out, this means causal bulk signals can propagate superluminally and even backwards in time according to brane observers. Here we consider the effective action on the brane induced by loops of bulk fields. We consider a variety of self-energy and vertex corrections due to bulk scalars and gravitons and show that bulk loops with nonzero winding generate UV-finite Lorentz-violating terms in the 4D effective action. The results can be accommodated by the Standard Model extension, a general framework for Lorentz-violating effective field theory.
- Publication:
-
Physical Review D
- Pub Date:
- November 2023
- DOI:
- 10.1103/PhysRevD.108.105014
- arXiv:
- arXiv:2309.05759
- Bibcode:
- 2023PhRvD.108j5014K
- Keywords:
-
- High Energy Physics - Phenomenology;
- High Energy Physics - Theory
- E-Print:
- 29 pages. v2: fixed a minor typo