Functional Forms for Lattice Correlators at Small Times

where M is the mass of the ground state, and Γ is channel dependent. The presence of the decaying exponential has led to investigations being focused on the large Euclidean time “tails” of the two-point functions, and data at small times being discarded. The question was asked, “Is there a way of obtaining information from short times?”. The answer was “Yes” a QCD Sum Rules approach. Lattice QCD allows the determination of correlation functions deep within the non-perturbative region. QCD Sum Rules (QCDSR) can be utilised in the near-perturbative regime where the excited states cannot be ignored. Both are techniques which have been widely employed to deepen the understanding of strongly interacting systems, and have been combined in the work of Leinweber[1,2], and Allton and Capitani [3]. In this study, we extend the work of [1–3] by applying the analysis with a continuum limit expansion of the lattice quark propagator, derived in [4]. The lattice data used is UKQCD generated, and is (quenched) Wilson at β = 6.0 with a volume of 16 × 48. 2. QCDSR Continuum Model