Implications of Conformal Symmetry in Quantum Mechanics
High Energy Physics - Theory
2017-12-12 v3
Abstract
In conformal quantum mechanics with the vacuum of a real scaling dimension and with a complete orthonormal set of energy eigenstates which is preferable under the unitary evolution, the dilatation expectation value between energy eigenstates monotonically decreases along the flow from the UV to the IR. In such conformal quantum mechanics there exist bounds on scaling dimensions of the physical states and the gauge operators.
Keywords
Cite
@article{arxiv.1704.00286,
title = {Implications of Conformal Symmetry in Quantum Mechanics},
author = {Tadashi Okazaki},
journal= {arXiv preprint arXiv:1704.00286},
year = {2017}
}
Comments
25 pages, 2 figures; v3: published version in Physical Review D