=== Init === Run long enough to see good Higgs correlators at several values of the cutoff. Two values of lambda, 1e-4 and 1e-6. Four values of the bare vev: 0.1, 0.2, 0.5, and 1.0 Run massively on kaon: 5*4 runs for each (lambda,vev). === Runtime === Measure while updating ... or not: measurements were screwed; use cfgs (wrote every 20th, have 2520 cfgs for each run) for measurement. Run higgsmass/bin/corr on kaon head node. Analyze in lambda=*/v=*/analysis; link all cfgs together in ../analysis/allcfgs. Copy analysis output to xeon for ising calculations. === Analysis === * Ising2_run subtracts (i.e. per config), which has a "negative norm", with which ising2_run does not deal well. * Analyzing naively, subtracting ^2, gives a good cosh, but with very large errors. * Analyzing naively, subtracting , gives very small errors *and* a great cosh, using gnuplot to fit the form: A + B*cosh(m (T-t)) ! ising2_run does not seem to have the capacity to add in the A. The histories look great, and the points are separated by 20 Fourier accelerated updates, so I insist that this result is completely acceptable. The only down side is the fit parameter correlation, the exponent with the coefficient. * Subtracting ^2 by hand and using ising2_run gives okay plateaux, but with unacceptably large errors (as in the naive analysis, as expected for good data). * Using Dani's jacknife analysis, which subtracts , with the A added, gives roughly the same excellent result as the naive analysis. The errors are larger, coming from solving c_boot(t)/c_booot(t+1) = cosh(m_boot t)/cosh(m_booot (t+1)) for each booststrap sample. Dani claims that his way is the standard. After much consideration and comparison, I am willing to accept it, but with the notion that it may overestimate the errors by a factor of around 2. * kaon side is done. Have p=(0,0,0).bin, vev.bin, and higgs_propagator.bin for every run (in analysis directories). * m_R errors are larger than m_phys ones; should not be the case. Use more momenta, up to 8 (5k pts). === Results === * First, vevs are roughly 0.20, 0.23, 0.39, and 0.85 for lambda=1e-4 and 0.21, 0.25, 0.47, and 1.03 for lambda=1e-6. Notice that the vev doesn't change much from "v=0.2" to "v=0.1" in either case, a sign of finite volume effects. * Using Dani's method for the effective mass gives decent results for v=0.5,1.0 -- i.e., O(1%) errors and pretty good m_eff plots; but for v=0.1,0.2 the m_eff plots are pretty shoddy. Still, I think it safe to say we have an O(5%) determination of m_eff, with possibly large finite volume effects. * Agreement between m_corr (m_phys) and m_prop (m_R) is okay; errors are comparable. * Mass does not decrease with decreasing vev except for v=0.5,1.0. Finite ? volume effect on v=0.1,0.2? The effect is much less for m_prop than m_corr. Recall (from a few lines up) that the vev doesn't change much from "v=0.2" to "v=0.1", so 1) the mass need not change much either and 2) the volume is not large enough. ... NOT FINISHED