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Content archived on 2024-05-07

Non-relativistic effective field theories - nrqcd - nrqed - and hqet


Research objectives and content
The objectives of this research project are to study in depth static and, overcoat, nonrelativistic systems from a Effective Field Theory (EFT) point of view. EFT's provide a systemafic method with well-defined rules to study physical systems when there are well separated scales (as it just happens to be the case). First I would like to concentrate in NRQCD (the EFT for heavy quarkonium systerns). Unlike HQET, in the standard formulation of NRQCD the operators in the Lagrangian do not have an unique scale and they could contribute to several others. The main airn of this project is to provide the suitable EFT for nonrelativistic systerns in QCD. This means a Lagrangian where each term has a unique scale with well defined counting rules and also with a well-established matching procedure among the different EFT's and QCD. At the end of the day I expect that with this new effective theory a better understanding of these systerns can be obtained directly from QCD without recourse to any model. The same project could also be followed in QED. In that case the use of NRQED provides a powerful tool to perform higher order calculations in bound state systerns. This is especially useful for the leptonic sector where uncontrollable QCD nonperturbative effects are very suppressed and very precise measurements could give clean results about new physics. This formalism could be applied to different nonrelativistic systerns. One of the most challenging problems which could be attacked using nonrelativistic EFT's is nuclear physics (with two or more nucleons). This line of research has started rather recently with promising results. I am confident that I could profit from my training with nonrelativistic EFT's to get interesting results in this new field. It is also very interesting the possible application of this approach for systems with more than one heavy meson ( B or D). Training content (objective, benefit and expected impact)
Links with industry / industrial relevance (22)

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