In these lectures, I give an overview of the effective field theories in a finite volume, which are used to relate the quantities, calculated in lattice QCD (the particle masses, many-particle energy levels, the matrix elements of operators calculated between different eigenstates of the Hamiltonian, etc.) to the experimentally measured observables (masses, scattering amplitudes, decay widths, etc.). In the first part of the lectures, I consider in detail the lattice formulation of ordinary quantum mechanics and give a derivation of some important relations between finite- and infinite-volume quantities in a toy model. The second part of the lectures is dedicated to an introduction into different low-energy effective theories of QCD (Chiral Perturbation Theory, non-relativistic effective field theory) and their use for extracting the infinite-volume observables from lattice QCD calculations that are always carried out in a finite volume.

Biography

Dr. Akaki Rusetsky got his PhD degree from Tbilisi State University (Georgia) in 1994. Since then, he worked at High Energy Physics Institute (Tbilisi, Georgia), Joint Institute for Nuclear Research (Dubna, Russia), University of Bern (Switzerland) and ECT* (Trento, Italy). Since 2003, he has a position at the University of Bonn (Germany). His research interests include QCD and hadron physics, effective field theories and lattice.

Inviter

Feng-kun Guo