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

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

1994-10-20

arxiv.org/abs/hep-lat/9410011v2

Nucl.Phys. B455 (1995) 339-356

Physics

High Energy Physics

High Energy Physics - Lattice

21 pages, uuencoded LATEX plus 5 postscript figures. ROME prep. 94/1042, SHEP prep. 93/94-31

Scientific paper

We present the results of a high statistics lattice study of the gluon propagator, in the Landau gauge, at $\beta=6.0$. 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/\Lambda^2)^\eta\Big]^{-1} $. By comparing $G(k^2)$ on different volumes, we obtain a precise determination of the exponent $\eta=0.532(12)$, and verify that $M^2$ does not vanish in the infinite volume limit. The behaviour of $\eta$ and $M^2$ in the continuum limit is not known, and can only be studied by increasing the value of $\beta$.

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