Mass spectroscopy using Borici–Creutz fermions on 2D lattice

Lattice fermions with complex mass

We present evidence in the Schwinger model that rooted staggered fermions may correctly describe the m < 0 sector of a theory with an odd number of flavors. We point out that in QCD-type theories with a complex-valued quark mass every non-chiral action essentially “borrows” knowledge about the θ-transformation properties from the overlap action. The staggered fermion operator D describes Nt = 2...

Scalar Meson Spectroscopy with Lattice Staggered Fermions

Quark mass renormalization on the lattice with staggered fermions.

The QCD light quark mass renormalized at a 1 GeV scale in the MS scheme is obtained from the numerical results of the lattice QCD simulation with staggered fermions. The primary emphasis is given to the connection between the lattice and continuum parameters. The results are compared with those from the QCD sum rule.

Spectrum of Relativistic Fermions in a 2d Doped Lattice

Motivated by some previous work on fermions on random lattices and by suggestions that impurities could trigger parity breaking in 2d crystals, we have analyzed the spectrum of the Dirac equation on a two dimensional square lattice where sites have been removed randomly — a doped lattice. We have found that the system is well described by a sine-Gordon action. The solitons of this model are the...

Spectroscopy of dipolar fermions in 2D pancakes and 3D lattices

Motivated by ongoing measurements at JILA, we calculate the recoil-free spectra of dipolar interacting fermions, for example ultracold heteronuclear molecules, in a one-dimensional lattice of two-dimensional pancakes, spectroscopically probing transitions between different internal (e.g., rotational) states. We additionally incorporate p-wave interactions and losses, which are important for rea...