Meta-Schr\"odinger invariance
High Energy Physics - Theory
2022-12-12 v2 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
The Meta-Schr\"odinger algebra arises as the dynamical symmetry in transport processes which are ballistic in a chosen `parallel' direction and diffusive and all other `transverse' directions. The time-space transformations of this Lie algebra and its infinite-dimensional extension, the meta-Schr\"odinger-Virasoro algebra, are constructed. We also find the representation suitable for non-stationary systems by proposing a generalised form of the generator of time-translations. Co-variant two-point functions of quasi-primary scaling operators are derived for both the stationary and the non-stationary cases.
Cite
@article{arxiv.2112.14143,
title = {Meta-Schr\"odinger invariance},
author = {Stoimen Stoimenov and Malte Henkel},
journal= {arXiv preprint arXiv:2112.14143},
year = {2022}
}
Comments
Latex2e, 1+28 pages, no figures