Quenched Finite Volume Logarithms

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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LaTeX, 14 pages. Comments and references added, minor changes

Scientific paper

10.1016/S0550-3213(01)00269-3

Quenched chiral perturbation theory is used to compute the first finite
volume correction to the chiral condensate. The correction diverges
logarithmically with the four-volume $V$. We point out that with dynamical
quarks one can obtain both the chiral condensate and the pion decay constant
from the distributions of the lowest Dirac operator eigenvalues.

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