Variational method with staggered fermions

Abstract

The variational method is used widely for determining eigenstates of the QCD hamiltonian for actions with a conventional transfer matrix, e.g., actions with improved Wilson fermions. An alternative lattice fermion formalism, staggered fermions, does not have a conventional single-time-step transfer matrix. Nonetheless, with a simple modification, the variational method can also be applied to that formalism. In some cases the method also provides a mechanism for separating the commonly paired parity-partner states. We discuss the extension to staggered fermions and illustrate it by applying it to the calculation of the spectrum of charmed-antistrange mesons consisting of a clover charm quark and a staggered strange antiquark.

21 pages, 5 figures, 9 tables

References in corpus (10)

• Massive Fermions in Lattice Gauge Theory
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• Lattice QCD ensembles with four flavors of highly improved staggered quarks
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• $D_{s0}^{\ast }(2317)$ Meson and $D$-Meson-Kaon Scattering from Lattice QCD
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• D and D_s meson spectroscopy
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• Charmed hadron spectroscopy on the lattice for $N_f=2+1$ flavours

Cited by in corpus (6)

• Leading hadronic contribution to the muon magnetic moment from lattice QCD
• Studying the $\rho$ resonance parameters with staggered fermions
• $I=0$ $\pi \pi$ $s$-wave scattering length from lattice QCD
• Nucleon Mass with Highly Improved Staggered Quarks
• Expanding the Interpolator Basis in the Variational Method to Explicitly Account for Backward Running States
• Precise study of triply charmed baryons ${\Omega }_{ccc}$