The Gluon Propagator on a Large Volume, at $β=6.0$

We present the results of a high statistics lattice study of the gluon propagator, in the Landau gauge, at $β=6.0$. As suggested by previous studies, we find that, in momentum space, the propagator is well described by the expression $G(k^2)= \Big[ M^2 + Z\cdot k^2(k^2/Λ^2)^η\Big]^{-1}$. By comparing $G(k^2)$ on different volumes, we obtain a precise determination of the exponent $η=0.532(12)$, and verify that $M^2$ does not vanish in the infinite volume limit. The behaviour of $η$ and $M^2$ in the continuum limit is not known, and can only be studied by increasing the value of $β$.

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