PoS - Proceedings of Science
Volume 256 - 34th annual International Symposium on Lattice Field Theory (LATTICE2016) - Nonzero Temperature and Density
Phase diagram of the O(3) model from dual lattice simulations
F. Bruckmann,* C. Gattringer, T. Kloiber, T. Sulejmanpasic
*corresponding author
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Pre-published on: January 30, 2017
Published on: March 24, 2017
Abstract
We have simulated the asymptotically free two-dimensional O(3) model at nonzero chemical potential using the model's dual representation. We first demonstrate how the latter solves the sign (complex action) problem. The system displays a crossover at nonzero temperature, while at zero temperature it undergoes a quantum phase transition when mu reaches the particle mass (generated dynamically similar to QCD). The density follows a square root behavior universal for repulsive bosons in one spatial dimension. We have also measured the spin stiffness, known to be sensitive to the spatial correlation length, using different scaling trajectories to zero temperature and infinite size. It points to a dynamical critical exponent z=2. Comparisons to thermodynamic Bethe ansaetze are shown as well.
DOI: https://doi.org/10.22323/1.256.0062
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