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Effective field theory methods in lattice calculations

Subject Area Nuclear and Elementary Particle Physics, Quantum Mechanics, Relativity, Fields
Term since 2026
Project identifier Deutsche Forschungsgemeinschaft (DFG) - Project number 563038723
 
The present research proposal is aimed at a systematic study of the finite volume effects on the lattice by using effective field theory methods. A particular emphasis is laid on two research objectives. The first one deals with the inclusion of the electromagnetic interactions in the three-particle quantization condition that determines the finite-volume lattice spectrum in the three-particle sector. The crucial point here is the use of the C* boundary conditions, which lead to the local effective theory and do not violate the decoupling theorem. The second objective deals with a formulation of the effective field theory framework for the evaluation of the finite-volume artifacts in the so-called δ-regime that might be useful for the study of various condensed-matter models at very low temperatures. It should be emphasized that the present research proposal is a natural extension of a large research project, dealing with the use of the effective field theory methods in lattice calculations. This project is carried out in the working group of the principal investigator for almost two decades already and presently studies, among others, the three-particle kaon decays on the lattice, the role of the long-range forces in the extraction of the physical observables of lattice data, the determination of the parameters of the Roper resonance on the lattice, as well as the use of the external field technique for the measurement of the hadronic form-factors and compton scattering in lattice QCD.
DFG Programme Research Grants
International Connection China, Switzerland, USA
 
 

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