Andrea Shindler

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Computational schemeWe work in the p and GSM regimeNecco, A.S.: 2010m, µ v ,a∼ O(p 2 ), 1/L, 1/T ∼ O(p)Two methods: replica method, SUSY methodSU(4|2) x SU(4|2) → SU(4|2) M = diag( m 2×2 sea,m+ iµ v τ 3 ,m+ iµ v τ 3 ) 2×2 val 2×2 ghostVacuum corrections computed using a saddle point expansionComputeP 3 NLOand analytically prolong the twisted mass to the complex planeCompute the discontinuity along the imaginaryµ vMonday, January 17, 2011
Spectral density of Wilson operator[ρ Q (λ,m)+ρ Q (−λ,m)] NLO =2Σλπ √ 1+ m2 ˜∆λ 2 − m 2 λ 2 − m 2 ++ m(3¯l 6 − 1) + 2 λ 2 − m 2 arctan−2m ln Σ|λ|2Σ √ λF 2 µ 2 − m ln2 − m 2F 2 µ 2Σ(4π) 2 F 4 − π λ 2 − m 2√ λ2 − m 2m+ 16âF 2 W 6 ,˜∆ = 16â F 2 W 6 + 2âW 6 Mss2 ,∆ = − 16â W8F 2 2 + W 104 + âW 8 Mss2 .Necco,A.S.:2010Monday, 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 14 and 15: Pseudoscalar correlation functionC
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 32 and 33: Finite volume effectsBlack solid li
Page 34 and 35: Monday, January 17, 2011Parameter s

Andrea Shindler

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