E1: Effective $Z_3$ model for finite density QCD with tensor networks

28 Jul 2021, 15:00
1h
Poster Algorithms (including Machine Learning, Quantum Computing, Tensor Networks) Poster

Speaker

Judah Unmuth-Yockey (Fermi National Laboratory)

Description

The tensor renormalization group is a promising numerical method used to study lattice statistical field theories. However, this approach has been prohibitively expensive in 2+1 and 3+1 dimensions until recently. Here we use relatively new tensor renormalization group methods to study an effective three-dimensional $Z_3$ model for the heavy-quark, high-temperature, strong-coupling limit of single-flavor 3+1 dimensional quantum chromodynamics. Our results are cross-checked using worm Monte Carlo. We present the phase diagram of the model through the measurement
of the Polyakov loop, the nearest-neighbor Polyakov loop correlator, and their susceptibilities. The tensor renormalization group results are in good agreement with the literature.

Author

Judah Unmuth-Yockey (Fermi National Laboratory)

Co-authors

Presentation materials