Application of Maximum Entropy Method to Lattice Field Theory with a Topological Term

Details Application of Maximum Entropy Method to Lattice Field Theory with a Topological Term Application of Maximum Entropy Method to Lattice Field Theory with a Topological Term

2003-09-22

arxiv.org/abs/hep-lat/0309143v1

Physics

High Energy Physics

High Energy Physics - Lattice

talk at Lattice 2003 (topology), 3 pages with 3 figures

Scientific paper

10.1016/S0920-5632(03)02680-X

In Monte Carlo simulation, lattice field theory with a $\theta$ term suffers from the sign problem. This problem can be circumvented by Fourier-transforming the topological charge distribution $P(Q)$. Although this strategy works well for small lattice volume, effect of errors of $P(Q)$ becomes serious with increasing volume and prevents one from studying the phase structure. This is called flattening. As an alternative approach, we apply the maximum entropy method (MEM) to the Gaussian $P(Q)$. It is found that the flattening could be much improved by use of the MEM.

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