Antiferromagnetic S=1/2 Heisenberg Chain and the Two-flavor Massless Schwinger Model

TL;DR

This paper establishes a detailed mapping between an antiferromagnetic S=1/2 Heisenberg chain and the two-flavor massless Schwinger model at =, relating their physical parameters and providing insights into their equivalence.

Contribution

It introduces a precise correspondence between the Heisenberg spin chain and the Schwinger model, including parameter relations and physical constants.

Findings

Electromagnetic coupling constant expressed in terms of Heisenberg coupling

Velocity of light related to lattice spacing and spin interactions

Mapping at = provides a new perspective on quantum field theory and condensed matter connection

Abstract

An antiferromagnetic S=1/2 Heisenberg chain is mapped to the two-flavor massless Schwinger model at \theta=\pi. The electromagnetic coupling constant and velocity of light in the Schwinger model are determined in terms of the Heisenberg coupling and lattice spacing in the spin chain system.