Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • apa.csl
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Nonrelativistic scale anomaly, and composite operators with complex scaling dimensions
Universität Heidelberg, DEU.ORCID iD: 0000-0002-4615-2507
2011 (English)In: Annals of Physics, ISSN 0003-4916, E-ISSN 1096-035X, Vol. 326, no 5, p. 1368-1380Article in journal (Refereed) Published
Abstract [en]

It is demonstrated that a nonrelativistic quantum scale anomaly manifests itself in the appearance of composite operators with complex scaling dimensions. In particular, we study nonrelativistic quantum mechanics with an inverse square potential and consider a composite s-wave operator O = psi psi. We analytically compute the scaling dimension of this operator and determine the propagator < 0 vertical bar TOO(dagger)vertical bar 0 >. The operator O represents an infinite tower of bound states with a geometric energy spectrum. Operators with higher angular momenta are briefly discussed. (C) 2011 Elsevier Inc. All rights reserved.

Place, publisher, year, edition, pages
Academic Press, 2011. Vol. 326, no 5, p. 1368-1380
Keywords [en]
Nonrelativistic conformal field theory; Scale anomaly; Composite operator
National Category
Subatomic Physics
Research subject
Physics
Identifiers
URN: urn:nbn:se:kau:diva-87187DOI: 10.1016/j.aop.2011.01.003ISI: 000289968300013OAI: oai:DiVA.org:kau-87187DiVA, id: diva2:1624823
Available from: 2022-01-05 Created: 2022-01-05 Last updated: 2023-06-20Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full text

Authority records

Moroz, Sergej

Search in DiVA

By author/editor
Moroz, Sergej
In the same journal
Annals of Physics
Subatomic Physics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 90 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • apa.csl
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf