Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2004-09-24
Physics
High Energy Physics
High Energy Physics - Lattice
Talk presented at Lattice2004(topology), Fermilab, June 21-26, 2004; 3 pages, 3 figures
Scientific paper
10.1016/j.nuclphysbps.2004.11.15
A $\theta$ term in lattice field theory causes the sign problem in Monte Carlo simulations. This problem can be circumvented by Fourier-transforming the topological charge distribution $P(Q)$. This strategy, however, has a limitation, because errors of $P(Q)$ prevent one from calculating the partition function ${\cal Z}(\theta)$ properly for large volumes. This is called flattening. As an alternative approach to the Fourier method, we utilize the maximum entropy method (MEM) to calculate ${\cal Z}(\theta)$. We apply the MEM to Monte Carlo data of the CP$^3$ model. It is found that in the non-flattening case, the result of the MEM agrees with that of the Fourier transform, while in the flattening case, the MEM gives smooth ${\cal Z}(\theta)$.
Imachi Masahiro
Shinno Yasuhiko
Yoneyama Hiroshi
No associations
LandOfFree
CP$^{N-1}$ model with the theta term and maximum entropy method does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with CP$^{N-1}$ model with the theta term and maximum entropy method, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and CP$^{N-1}$ model with the theta term and maximum entropy method will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-695038