Speaker
Xiaoyong Jin
(ANL)
Description
We present a modification of the hybrid Monte Carlo algorithm for
tackling the critical slowing down of generating Markov chains of
lattice gauge configurations towards the continuum limit. We propose
a new method to exchange information between an ensemble of Markov
Chains, and use it to construct an approximate inverse Hessian
matrix of the action inspired from Quasi-Newton algorithms for
optimization. The kinetic term of the molecular dynamic evolution
includes the approximate Hessian for long distance couplings among
the momenta. We will show the result of applying the new algorithm
to the U(1) gauge theory in two dimensions, and discuss our future
plans.
Primary author
Xiaoyong Jin
(ANL)
Co-author
James Osborn
(ANL)