Symmetries and propagator in multifractional scalar field theory
High Energy Physics - Theory
2013-04-05 v3 High Energy Physics - Phenomenology
Mathematical Physics
math.MP
Abstract
The symmetries of a scalar field theory in multifractional spacetimes are analyzed. The free theory realizes the Poincar\'e algebra, and the associated symmetries are modifications of ordinary translations and Lorentz transformations. In the interacting case, the Poincar\'e algebra is broken by interaction terms. The Feynman propagator of the scalar field is computed and found to possess the usual mass poles. As a consequence of these findings, the mass of a particle is a well-defined concept at all scales, and a perturbative quantum theory can be constructed.
Keywords
Cite
@article{arxiv.1210.2754,
title = {Symmetries and propagator in multifractional scalar field theory},
author = {Gianluca Calcagni and Giuseppe Nardelli},
journal= {arXiv preprint arXiv:1210.2754},
year = {2013}
}
Comments
15 pages, 1 double figure. v2-3: discussion improved, results unchanged, typos corrected