The beauty of curved momentum space
High Energy Physics - Theory
2023-03-16 v1 Mathematical Physics
math.MP
Quantum Physics
Abstract
In this manuscript, we will discuss the notion of curved momentum space, as it arises in the discussion of noncommutative or doubly special relativity theories. We will illustrate it with two simple examples, the Casimir effect in anti-Snyder space and the introduction of fermions in doubly special relativity. We will point out the existence of intriguing results, which suggest nontrivial connections with spectral geometry and Hopf algebras.
Keywords
Cite
@article{arxiv.2303.08220,
title = {The beauty of curved momentum space},
author = {S. A. Franchino-Viñas and S. Mignemi and J. J. Relancio},
journal= {arXiv preprint arXiv:2303.08220},
year = {2023}
}
Comments
Proceedings of the Corfu Summer Institute 2022 "School and Workshops on Elementary Particle Physics and Gravity". Based on arXiv:2203.12286 [hep-th] and arXiv:2005.12610 [hep-th]. 26 pages, 1 figure