Gauge-equivariant flow models for sampling in lattice field theories with pseudofermions

Abbott, Ryan, Albergo, Michael S., Boyda, Denis, Cranmer, Kyle, Hackett, Daniel C., Kanwar, Gurtej, Racanière, Sébastien, Rezende, Danilo J., Romero-López, Fernando, Shanahan, Phiala E., Tian, Betsy, Urban, Julian M.

arXiv.org Artificial Intelligence 

Specifically, computing the probability density after the fermionic integration via direct methods is not feasible for at-scale studies of theories such as QCD, as such methods Lattice quantum field theory (LQFT), particularly lattice scale cubically with the spacetime volume. The usual quantum chromodynamics, has become an ubiquitous approach to this challenge is to introduce auxiliary degrees tool in high-energy and nuclear theory [1-4]. Given of freedom, named pseudofermions, which function the extraordinary computational cost of state-of-the-art as stochastic determinant estimators for which the cost LQFT studies, advances in the form of more efficient algorithms of evaluation scales more favorably with the lattice volume.

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