Vacuum polarization in Coulomb field revisited

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10367392" target="_blank" >RIV/00216208:11320/17:10367392 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.aop.2017.02.008" target="_blank" >http://dx.doi.org/10.1016/j.aop.2017.02.008</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.aop.2017.02.008" target="_blank" >10.1016/j.aop.2017.02.008</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Vacuum polarization in Coulomb field revisited

Popis výsledku v původním jazyce

Simplified derivation of Wichmann-Kroll term is presented. The derivation uses two formulas for hypergeometric functions, but otherwise is elementary. It is found that Laplace transform of the vacuum charge density diverges at zero momentum transfer. This divergence has nothing to do with known ultraviolet divergence. The latter is related to the large momentum behavior of the pertinent integral, while the former to the small momentum behavior. When these divergences are removed, the energy shift caused by vacuum polarization for an ordinary hydrogen obtained here is in an exact agreement with the result obtained by Wichmann and Kroll. Also, for muonic hydrogen the result obtained here reasonably agrees with that given in literature.

Název v anglickém jazyce

Vacuum polarization in Coulomb field revisited

Popis výsledku anglicky

Simplified derivation of Wichmann-Kroll term is presented. The derivation uses two formulas for hypergeometric functions, but otherwise is elementary. It is found that Laplace transform of the vacuum charge density diverges at zero momentum transfer. This divergence has nothing to do with known ultraviolet divergence. The latter is related to the large momentum behavior of the pertinent integral, while the former to the small momentum behavior. When these divergences are removed, the energy shift caused by vacuum polarization for an ordinary hydrogen obtained here is in an exact agreement with the result obtained by Wichmann and Kroll. Also, for muonic hydrogen the result obtained here reasonably agrees with that given in literature.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

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OECD FORD obor

10300 - Physical sciences

Projekt

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Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2017

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Annals of Physics

ISSN

0003-4916

e-ISSN

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Svazek periodika

379

Číslo periodika v rámci svazku

16 February 2017

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

19

Strana od-do

131-149

Kód UT WoS článku

000399063200009

EID výsledku v databázi Scopus

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