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Mainz 2014 – scientific programme

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T: Fachverband Teilchenphysik

T 20: QCD (Theorie) 1

T 20.4: Talk

Monday, March 24, 2014, 11:45–12:00, P110

Long range gluonic interactions between color singlets — •Nora Brambilla, Vladyslav Shtabovenko, Jaume Tarrús Castellà, and Antonio Vairo — TU München, Deutschland

Long range gluonic interactions between color singlets (CS) like heavy quarkonia involve several well separated energy scales. The physics of heavy quarkonia is successfully described by NRQCD and pNRQCD, two non-relativistic effective field theories (EFTs) of QCD that can be derived from the full QCD Lagrangian by successively integrating out the energy scales mQ and mQαs, where mQ is the heavy quark mass. To treat the interactions between CS in the same framework, it is natural to introduce an additional scale of momentum exchange |k|. Depending on the relative size of |k|, different scale hierarchies that lead to different EFTs are possible. To test the validity of this approach, we first studied the electromagnetic Van der Waals force between hydrogen atoms for two different scale hierarchies and developed corresponding EFTs of QED. This talk will give an overview of our results for the electromagnetic Van der Waals force and will discuss the first applications of our approach to the gluonic long range forces between color singlets.

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