Multicanonical hybrid Monte Carlo for compact QED

Abstract

We demonstrate that substantial progress can be achieved in the study of the phase structure of 4-dimensional compact QED by a joint use of hybrid Monte Carlo and multicanonical algorithms, through an efficient parallel implementation. This is borne out by the observation of considerable speedup of tunnelling between the metastable states, close to the phase transition, on the Wilson line. Our approach leads to a general parallelization scheme for the efficient stochastic sampling of systems where (a part of) the Hamiltonian involves the total action or energy in each update step.Comment: LATTICE(Algorithm) 3 pages,1 figur

Compact QED under scrutiny: it's first order

“…For details we refer to Refs. [5,6]. The cumulative number of generated configurations at each lattice size L is > 5 × 10 6 .…”

Finite size scaling analysis of compact QED

“…For details we refer to Refs. [6,7]. Each update of the complete lattice is followed by 3 reflection steps [8] to reduce correlation of successive configurations.…”