Lattice chiral symmetry from bosons in 3+1d

Abstract: We present an explicit  Hamiltonian that realizes an exact lattice chiral $U(1)_V \times U(1)_A$ recently proposed. Nielsen-Ninomiya-type no-go theorems are evaded by using lattice bosons rather than fermions. The continuum limit is a compact boson field theory with an axion-like coupling. While $U(1)_V$ shifts the lattice scalar, $U(1)_A$ acts on short axion string excitations. We demonstrate the chiral anomaly by showing that $U(1)_A$ is broken when $U(1)_V$ is gauged. Finally, gauging either $U(1)_V$ and $U(1)_A$ leads to lattice non-invertible and 2-group symmetries, respectively.

HEP - phenomenologyHEP - theorymathematical physics

Audience: researchers in the topic

NHETC Seminar

Series comments: Description: Weekly research seminar of the NHETC at Rutgers University

Livestream link is available on the webpage.