An exact hybrid Monte Carlo framework is built by embedding SU(N) into complex matrix space, enabling non-separable Hamiltonians like Riemannian manifold HMC in lattice gauge theory without gauge fixing.
Testing algorithms for critical slowing down
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We present the preliminary tests on two modifications of the Hybrid Monte Carlo (HMC) algorithm. Both algorithms are designed to travel much farther in the Hamiltonian phase space for each trajectory and reduce the autocorrelations among physical observables thus tackling the critical slowing down towards the continuum limit. We present a comparison of costs of the new algorithms with the standard HMC evolution for pure gauge fields, studying the autocorrelation times for various quantities including the topological charge.
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Extended framework for the hybrid Monte Carlo in lattice gauge theory
An exact hybrid Monte Carlo framework is built by embedding SU(N) into complex matrix space, enabling non-separable Hamiltonians like Riemannian manifold HMC in lattice gauge theory without gauge fixing.