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• W2071492327 abstract "We study the scaling behavior and finite (physical) volume effects as well as the Gribov copy dependence of the $SU(2)$ Landau gauge gluon propagator on the lattice. Our physical lattice sizes range from $(3.0text{ }text{ }mathrm{fm}{)}^{4}$ to $(7.3text{ }text{ }mathrm{fm}{)}^{4}$. Considering lattices with decreasing lattice spacing but fixed physical volume we confirm (nonperturbative) multiplicative renormalizability and the approach to the continuum limit for the renormalized gluon propagator ${D}_{mathrm{ren}}(p)$ at momenta $|p|ensuremath{gtrsim}0.6text{ }text{ }mathrm{GeV}$. The finite-volume effects and Gribov copy influence turn out small in this region. On the contrary, in the deeper infrared we found the Gribov copy influence strong and finite-volume effects, which still require special attention. The gluon propagator does not seem to be consistent with a simple polelike behavior $ensuremath{sim}({p}^{2}+{m}_{g}^{2}{)}^{ensuremath{-}1}$ for momenta $|p|ensuremath{lesssim}0.6text{ }text{ }mathrm{GeV}$. Instead, a Gaussian-type fit works very well in this region. From its width---for a physical volume $(5.0text{ }text{ }mathrm{fm}{)}^{4}$- we estimate a corresponding infrared (mass) scale to be ${m}_{mathrm{IR}}ensuremath{sim}0.7text{ }text{ }mathrm{GeV}$." @default.
• W2071492327 created "2016-06-24" @default.
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• W2071492327 date "2010-03-11" @default.
• W2071492327 modified "2023-10-18" @default.
• W2071492327 title "<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>S</mml:mi><mml:mi>U</mml:mi><mml:mo stretchy=false>(</mml:mo><mml:mn>2</mml:mn><mml:mo stretchy=false>)</mml:mo></mml:math>lattice gluon propagator: Continuum limit, finite-volume effects, and infrared mass scale<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:msub><mml:mi>m</mml:mi><mml:mi>IR</mml:mi></mml:msub></mml:math>" @default.
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• W2071492327 doi "https://doi.org/10.1103/physrevd.81.054503" @default.
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