Finite volume effects in Chiral Perturbation Theory

por Christoph Haefeli (Universidad de Berna)

lunes 22 may. 2006 15:00 → 16:00 Europe/Madrid

Sala Seminarios IFIC (Edf. Institutos de Investigación)

Lattice simulations of the strong interactions are necessarily done in a finite volume. Before one can compare the so obtained observables with the experiment, one needs to perform an extrapolation to the infinite volume limit, which is numerically very demanding. Any analytical tool that helps in this respect is therefore welcome and Chiral Perturbation Theory provides the proper framework to perform this extrapolation analytically. I will evaluate finite volume effects for the pseudoscalar Goldstone Bosons of QCD and motivate the necessity to go beyond leading order in the calculations. As I will show, this is most efficiently done with an asymptotic formula in combination with Chiral Perturbation Theory.