Speaker
Judah Unmuth-Yockey
(University of Iowa)
Description
We study the two-dimensional O(3) model on the lattice using the Tensor
Renormalization Group (TRG) approach, with the goal of understanding asymptotic
scaling at both the large volume, and large beta limit. Harmonic analysis on the
Boltzmann weight introduces a sign problem into the partition function, which
makes the model difficult to study with the Worm Algorithm. The TRG is
insensitive to the sign problem because it relies on projections onto
eigenstates of positive matrices. Thermodynamic quantities are calculated for
finite volumes, as well as the infinite volume limit, and compare well with
Monte Carlo results. Prospects of parallelizing the TRG method to enable large
scale calculations, which would aid in the computation of correlation functions,
are briefly discussed, along with our progress on implementing these algorithms
on the Blue Gene/Q.
Primary author
Judah Unmuth-Yockey
(University of Iowa)
Co-authors
Haiyuan Zou
(University of Iowa)
James Osborn
(Argonne National Laboratory)
Yannick Meurice
(University of Iowa)
