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Implications of conformal symmetry in quantum mechanics

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 25 Sep 2017Embargo end date: 01 Apr 2017 English Publisher:American Physical Society (APS)Journal:Physical Review D, volume 96 (issn: 2470-0010, eissn: 2470-0029, Copyright policy )
Authors: Okazaki, Tadashi;

doi: 10.1103/physrevd.96.066030 , 10.48550/arxiv.1704.00286

arXiv: 1704.00286

Implications of conformal symmetry in quantum mechanics

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.

25 pages, 2 figures; v3: published version in Physical Review D

Related Organizations
Keywords

High Energy Physics - Theory, High Energy Physics - Theory (hep-th), FOS: Physical sciences

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    popularity
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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
9
Top 10%
Average
Top 10%
Green