Nonrelativistic scale anomaly, and composite operators with complex scaling dimensions
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=ψψ. We anal...
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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
25 January 2011
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| In: |
Annals of physics
Year: 2011, Volume: 326, Issue: 5, Pages: 1368-1380 |
| DOI: | 10.1016/j.aop.2011.01.003 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1016/j.aop.2011.01.003 Verlag, lizenzpflichtig, Volltext: https://www.sciencedirect.com/science/article/pii/S000349161100011X 
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| Author Notes: | Sergej Moroz |
| Summary: | 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=ψψ. We analytically compute the scaling dimension of this operator and determine the propagator 〈0|TOO†|0〉. The operator O represents an infinite tower of bound states with a geometric energy spectrum. Operators with higher angular momenta are briefly discussed. |
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| Item Description: | Gesehen am 08.09.2022 |
| Physical Description: | Online Resource |
| DOI: | 10.1016/j.aop.2011.01.003 |