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Gauge theories on a spacetime lattice
Construct lattice observables and simulation methods, then analyze continuum extrapolation, fermion discretization, and limits of numerical evidence.
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Module 01 research
Gauge theories on a spacetime lattice
Construct lattice observables and simulation methods, then analyze continuum extrapolation, fermion discretization, and limits of numerical evidence.
- 01
Put gauge transport on oriented lattice links
Fix the lattice spacing, matrix orientation, trace normalization, and Euclidean coupling.
27 min - 02
Extract a static energy from long Euclidean rectangles
Separate ground-state projection, self energies, area laws, and string breaking.
27 min - 03
Connect Euclidean slices to a positive Hilbert space
Distinguish positive weights, positive operators, and assumptions behind reconstruction.
27 min - 04
Sample the target measure and measure the correlations
Separate stationarity, convergence, autocorrelation, and regulator systematics.
27 min - 05
Build reversible proposals with an acceptance correction
Separate fictitious dynamics, pseudofermion measures, and exactness assumptions.
27 min - 06
Count unwanted light modes before interpreting a fermion field
State the discrete Dirac symbol, Brillouin domain, and no-go hypotheses.
27 min - 07
Choose a discretization with explicit symmetry costs
Compare lifted doublers, staggered tastes, and modified lattice chirality.
27 min - 08
Fit a spectrum without mistaking a plateau for proof
Track source overlaps, temporal images, correlations, and excited states.
27 min - 09
Turn lattice numbers into controlled physical predictions
Separate scale calibration, physical-volume control, and cutoff extrapolation.
27 min - 10
Diagnose phase cancellation before claiming a finite-density result
Separate a changed measure, reweighting overlap, and restricted analytic methods.
27 min