A Lattice Monte-Carlo Approach to Two Flavors PNJL Model M. S. Z. Raihan P. H. (a*), Bintoro A. Subagyo (a), Agus Purwanto (a)
(a) Department of Physics, Sepuluh Nopember Institute of Technology, Sukolilo, Surabaya 60111, Indonesia
* z.raihan.ph[at]gmail.com
Abstract
We extend the Monte-Carlo PNJL framework by introducing nearest-neighbor interactions between fluctuating sub-volumes, resulting in a spatially structured lattice model. A two-dimensional implementation is developed and sampled using the Metropolis algorithm, with computational optimizations to improve simulation efficiency. Preliminary results reproduce the expected qualitative behavior of PNJL thermodynamics, including deconfinement crossover behavior in the Polyakov loop and the emergence of spatial correlations in the chiral field. This framework provides a foundation for studying spatially correlated fluctuations beyond the mean-field approximation in effective QCD models.
Keywords: PNJL model- Monte Carlo simulation- Field fluctuations- Lattice model
