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...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article (Journal) |
| Language: | English |
| Published: |
25 January 2011
|
| 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 
|
| Author Notes: | Sergej Moroz |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 181627268X | ||
| 003 | DE-627 | ||
| 005 | 20230710120534.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 220908s2011 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.1016/j.aop.2011.01.003 |2 doi | |
| 035 | |a (DE-627)181627268X | ||
| 035 | |a (DE-599)KXP181627268X | ||
| 035 | |a (OCoLC)1389789909 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 29 |2 sdnb | ||
| 100 | 1 | |a Moroz, Sergej |d 1983- |e VerfasserIn |0 (DE-588)144024500 |0 (DE-627)656817275 |0 (DE-576)337724717 |4 aut | |
| 245 | 1 | 0 | |a Nonrelativistic scale anomaly, and composite operators with complex scaling dimensions |c Sergej Moroz |
| 264 | 1 | |c 25 January 2011 | |
| 300 | |a 13 | ||
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a Computermedien |b c |2 rdamedia | ||
| 338 | |a Online-Ressource |b cr |2 rdacarrier | ||
| 500 | |a Gesehen am 08.09.2022 | ||
| 520 | |a 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. | ||
| 650 | 4 | |a Composite operator | |
| 650 | 4 | |a Nonrelativistic conformal field theory | |
| 650 | 4 | |a Scale anomaly | |
| 773 | 0 | 8 | |i Enthalten in |t Annals of physics |d Amsterdam [u.a.] : Elsevier, 1957 |g 326(2011), 5 vom: Mai, Seite 1368-1380 |h Online-Ressource |w (DE-627)254231101 |w (DE-600)1461336-0 |w (DE-576)103373004 |7 nnas |a Nonrelativistic scale anomaly, and composite operators with complex scaling dimensions |
| 773 | 1 | 8 | |g volume:326 |g year:2011 |g number:5 |g month:05 |g pages:1368-1380 |g extent:13 |a Nonrelativistic scale anomaly, and composite operators with complex scaling dimensions |
| 856 | 4 | 0 | |u https://doi.org/10.1016/j.aop.2011.01.003 |x Verlag |x Resolving-System |z lizenzpflichtig |3 Volltext |
| 856 | 4 | 0 | |u https://www.sciencedirect.com/science/article/pii/S000349161100011X |x Verlag |z lizenzpflichtig |3 Volltext |
| 951 | |a AR | ||
| 992 | |a 20220908 | ||
| 993 | |a Article | ||
| 994 | |a 2011 | ||
| 998 | |g 144024500 |a Moroz, Sergej |m 144024500:Moroz, Sergej |d 130000 |e 130000PM144024500 |k 0/130000/ |p 1 |x j |y j | ||
| 999 | |a KXP-PPN181627268X |e 4185759738 | ||
| BIB | |a Y | ||
| SER | |a journal | ||
| JSO | |a {"physDesc":[{"extent":"13 S."}],"relHost":[{"id":{"eki":["254231101"],"zdb":["1461336-0"]},"origin":[{"publisherPlace":"Amsterdam [u.a.] ; Orlando","dateIssuedDisp":"1957-","publisher":"Elsevier ; Academic Press","dateIssuedKey":"1957"}],"physDesc":[{"extent":"Online-Ressource"}],"title":[{"title_sort":"Annals of physics","title":"Annals of physics"}],"recId":"254231101","language":["eng"],"type":{"bibl":"periodical","media":"Online-Ressource"},"disp":"Nonrelativistic scale anomaly, and composite operators with complex scaling dimensionsAnnals of physics","note":["Gesehen am 12.10.2020"],"part":{"extent":"13","text":"326(2011), 5 vom: Mai, Seite 1368-1380","volume":"326","pages":"1368-1380","issue":"5","year":"2011"},"pubHistory":["1.1957,Apr. - 327.2012; Vol. 328.2013 -"]}],"origin":[{"dateIssuedKey":"2011","dateIssuedDisp":"25 January 2011"}],"id":{"eki":["181627268X"],"doi":["10.1016/j.aop.2011.01.003"]},"name":{"displayForm":["Sergej Moroz"]},"type":{"media":"Online-Ressource","bibl":"article-journal"},"note":["Gesehen am 08.09.2022"],"language":["eng"],"recId":"181627268X","title":[{"title":"Nonrelativistic scale anomaly, and composite operators with complex scaling dimensions","title_sort":"Nonrelativistic scale anomaly, and composite operators with complex scaling dimensions"}],"person":[{"roleDisplay":"VerfasserIn","display":"Moroz, Sergej","role":"aut","family":"Moroz","given":"Sergej"}]} | ||
| SRT | |a MOROZSERGENONRELATIV2520 | ||