Program package for multicanonical simulations of U(1) lattice gauge theory

Abstract

2016-03-19T19:12:06

A brief history of the introduction of generalized ensembles to Markov chain Monte Carlo simulations

“…With Bazavov [51] I have worked out a straightforward implementation of the Wang-Landau recursion for the case of a continuous energy variable. The basic steps are:…”

Final Report for "Infrared Fixed Points in Multiflavor Lattice Gauge Theory"

“…In the case of D = 4 pure gauge SU(2), numerical results were checked with existing expansions [33], and it was found that the zeros stay away form the real axis as the 4-volume increases [18]. In the case of D = 4 pure gauge U(1) theory [34], we used the multi-canonical algorithm developed by Berg and Bazavov [35] to construct the density of states. For small volumes, we were able to locate the lowest zeros with a precision of order 10 −5 .…”

Dyson's instability in lattice gauge theory

“…Additional checks were made by calculating the first three moments of n(S). For U (1) lattice gauge theory, multicanonical methods relying on the Biased Metropolis-Heatbath Algorithm [13] were used [14]. Using this U (1) density of states, we have calculated the plaquette distribution calculated at fixed β and checked that there is an approximately symmetric double peak near β = 0.979 for a 4 4 lattice.…”

“…2 in the context of LGT. New "topological" methods to locate Fisher's zeros in SU (2) and U (1) using numerical calculations of the density of states [12,14] are discussed in Sec. 3.…”