The University of Southampton

SHEP Friday Seminar - Gurtej Kanwar - Tackling statistical noise in lattice calculations using complex analysis - Event

25th of November, 2022  @  13:00 - 14:15
46/5081 and on Teams

Event details

​Complex contour deformations of the path integral have been shown to mitigate sign problems associated with non-zero chemical potential and real-time evolution in lattice field theories. This talk details their application to instead address statistical noise in lattice calculations. Contour deformations allow redefining observables without affecting their expectation value or modifying the Monte Carlo sampling weights; the observable variance can then be optimized to maximize the signal-to-noise ratio. We define families of contour deformations for SU(N) variables and demonstrate exponential improvements in the signal-to-noise ratio of Wilson loops in proof-of-principle applications to U(1) and SU(N) lattice gauge theories.

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