Andrea Shindler

Chiral LagrangianL (2)χ = F 24 Tr ∂ µ U(x) † ∂ µ U(x) − Σ 2 Tr[M† U(x)+MU(x) † ]Two low energy constants (LECs)ΣandFShould beF ∼ Λ QCDandΣ ∼ Λ 3 QCDL (2)χ= 1 4 Tr [∂ µπ∂ µ π]+ mΣ2F 2 Tr π 2 ,⇒ M 2 π =2 Σ F 2 mmp 2χPT gives us the (and ) dependenceBut Σ and F are unknownCompute with lattice QCD themdependenceMonday, January 17, 2011