Loop Representations of the Quark Determinant in Lattice QCD

Abstract

The modelling of the ultraviolet contributions to the quark determinant in lattice QCD in terms of a small number of Wilson loops is examined. Complete Dirac spectra are obtained for sizeable ensembles of SU(3) gauge fields at $\beta$=5.7 on 6${}^4$, 8${}^4$, and 10${}^4$ lattices allowing for the first time a detailed study of the volume dependence of the effective loop action generating the quark determinant. The connection to the hopping parameter expansion is examined in the heavy quark limit. We compare the efficiency and accuracy of various methods- specifically, Lanczos versus stochastic approaches- for extracting the quark determinant on an ensemble of configurations.

20 pages, LaTeX

References in corpus (2)

• An Efficient Algorithm for QCD with Light Dynamical Quarks
• Tuning Actions and Observables in Lattice QCD

Cited by in corpus (11)

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• Computing Electromagnetic Effects in Fully Unquenched QCD
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• Finite-volume analysis of N_f-induced chiral phase transitions
• Numerical Stability of Lanczos Methods
• Fermions as Global Correction: the QCD Case
• Unquenched QCD with Light Quarks
• Unquenched Studies Using the Truncated Determinant Algorithm