Abstract
Abstract We present the results of a large-statistics numerical simulation for a quenched SU(2) gauge theory with staggered quarks. The use of two lattices of size 8 3 × 16 and 12 3 × 24 allows us to show the absence of any measurable finite size effect at β = 2.3. A study of the β-dependence ( β = 2.1–2.4) on the smallest lattice leads to a scaling behaviour for 〈 χ χ〉 and the ϱ-mass for β ⪆ 2.2 , but not for the π-decay constant ƒ π . We perform a detailed analysis of mesonic correlation functions in terms of the quantum numbers of the corresponding continuum theory. It allows us to interpret our numerical results for non-local mesonic operators, leading to strong evidence for various very light flavoured pseudo-scalars on the lattice, in accordance with a Nambu-Goldstone realization of full chiral symmetry in the continuum. Special care is taken in error estimates, and possible systematic errors are discussed.
Published Version
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