Dynamical chirality production in one dimension
Tomoya Hayata (Departments of Physics, Keio University, 4-1-1 Hiyoshi, Kanagawa 223-8521, Japan and RIKEN iTHEMS, RIKEN, Wako 351-0198, Japan); Katsumasa Nakayama (RIKEN Center for Computational Science, Kobe 650-0047, Japan); Arata Yamamoto (Department of Physics, The University of Tokyo, Tokyo 113-0033, Japan)
We discuss the quantum computation of dynamical chirality production in lattice gauge theory. Although the chirality of a lattice fermion is complicated in general dimensions, it can be simply formulated on a one-dimensional lattice. The chiral fermion formalism enables us to extract the physical part of the chirality production that would be interpreted as the chiral anomaly in the continuous theory. We demonstrate the computation of the lattice gauge theory on a classical emulator.
