E2: Tensor network formulation of massless lattice Schwinger model

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

Speaker

Dr Nouman Butt (Argonne National Laboratory)

Description

We construct a tensor network representation of the partition function
for the massless Schwinger model on a two dimensional lattice using staggered fermions. The tensor network representation
allows us to include a topological term. Using a particular
implementation of the tensor renormalization group (HOTRG) we calculate the phase diagram of the
theory. For a range of values of the coupling to the topological term $\theta$ and the gauge coupling $\beta$ we compare with results from
hybrid Monte Carlo when possible and find good agreement.

Primary author

Dr Nouman Butt (Argonne National Laboratory)

Co-authors

Dr Simon Catterall (Syracuse University) Prof. Yannick Meurice (University of Iowa) Dr Judah Yockey (Fermilab)

Presentation materials