Lattices

Any calculation in Schwinger.jl will start with a SchwingerLattice. The number of sites N and number of flavors F are type parameters. Other parameters can be specified as keyword arguments:

• periodic: whether the lattice is periodic
• q: the integer charge of the fermions
• θ2π: the $\theta$-angle (divided by $2\pi$)
• a: the lattice spacing (in coupling units)
• m: the physical mass (in coupling units); the mass shift is applied automatically
• mlat: the mass parameter in the Hamiltonian
• mprime: the coefficient of the hopping-type mass term

The sites of the lattice are indexed from 1 to N. The electric field operators are laid out as in the diagram below.

Here $\alpha = 1,\ldots,F$ is a flavor index.

For details of how these parameters enter into the Hamiltonian, see here.