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A lattice Higgs-Yukawa Model with Overlap Fermions - Lattice Seminar

A lattice Higgs-Yukawa Model with Overlap Fermions - Lattice Seminar

A lattice Higgs-Yukawa Model with Overlap Fermions - Lattice Seminar

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Preconditioning : Assume SSB ansatzφ v = vˆφ, Q = M[φ v ] −1 , detM † M = detM † Q † QMCond. number of the product is not the produt of the cond. nums.!Condition number reduced by ∼ 100−1000100000cond(MM † )cond(MQQ † M † )cond(RNR 2 N † R)1000cond(MM † )cond(MQQ † M † )cond(RNR 2 N † R)Condition number100001000100Condition number10010100100 200 300 400 500 600 7000100 200 300 400 500 600 700(Gerhold, ‘10)Configuration index i MCConfiguration index i MC

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