Andrea Shindler

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Pseudoscalar correlation functionC P (x 0 )= Σ2 eff3X2 (z eff )X 1 (z eff ) + 3F 2 1 − 1 3X 2 (z) T1(τ)X 1 (z) L 3 hΣ eff = Σ1 − N f 2 − 1N f F 2 Ḡ(0)z =2mΣVMonday, January 17, 2011
WilsonχPTContinuum Symanzik action (effective theory)L eff = L + aL 1 + ...Develop a generalized chiral expansion for the Symanzik effective theorySharpe, Singleton: 1998L (2)W χ = F 24 Tr ∂ µ U(x) † ∂ µ U(x) − Σ 2 Tr MU(x) † + M † U(x) + a W 0F 2Tr U(x) † + U(x) ,2m R → m R + aW 0 F 2 /Σ ≡ m χExtend W PT to the regimeMonday, January 17, 2011
Page 1 and 2: The chiral regime ofQCDAndrea Shind
Page 3 and 4: Goldstone boson fieldsDifficult ste
Page 5 and 6: Matching QCD to ΧPTCompute numeric
Page 8 and 9: egime in the continuumThe leading t
Page 10 and 11: Lattice simulationsChiral symmetry
Page 12 and 13: Lattice simulations in theregimePro
Page 16 and 17: Power countingA.S; Bär, Necco, Sch
Page 18 and 19: Aoki regimeCutoff effects O(a^2) al
Page 20 and 21: Wilson twisted mass in the ε regim
Page 22 and 23: Pseudoscalar correlation functionC
Page 24 and 25: Systematic errorsGroup N f r 0 Σ 1
Page 26 and 27: Spectral densityConsiderable algori
Page 28 and 29: Spectral density of Wilson operator
Page 30 and 31: Computational schemeWe work in the
Page 32 and 33: Finite volume effectsBlack solid li
Page 34 and 35: Monday, January 17, 2011Parameter s

Andrea Shindler

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