Andrea Shindler

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Lattice simulations in theregimeProblem 1: instabilities at low quark masses with Wilson fermionsSolution 1: use Wilson twisted mass fermionsDel Debbio, Giusti, Lüscher, Petronzio, Tantalo: 2006Problem 2: metastabilities issues at small twisted massETMC: 2004-2006Solution 2: in a regime with no SSB there should be no problemProblem 3: need an algorithm to simulate in this extreme regimeSolution 3: combine PHMC with exact reweighingJansen,Nube,A.S.,Urbach,Wenger: 2007Jansen,Nube,A.S:2008Problem 4: understand cutoff effectsSolution 4: GeneralizeχPT to include lattice artefactsA.S.:2008Bär, Necco, Schaefer: 2008Bär, Necco, A.S.:2010Monday, January 17, 2011
Simulation detailsA.S.: in progressaµ q N trajlattice β size a (fm)I 3.9 16 3 1× 32 0.085 0.0005 2500I 3.9 16 3 2× 32 0.085 0.00075 3500I 3.9 16 3 3× 32 0.085 0.001 3135F 14.05 24 3 × 48 0.067 0.00039 1755F 4.05 24 3 2× 48 0.067 0.00078 2316F 34.05 24 3 × 24 0.067 0.00078 2500F 4 4.05 20 3 × 40 0.067 0.00039 2500β =4.0520 3 × 40aµ q =3.9 · 10 −4Monday, 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 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 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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