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 $(3.0 \mathrm{fm})^4$ to $(7.3 \mathrm{fm})^4$. Considering lattices with decreasing lattice spacing but fixed physical volume we confirm (non-perturbative) multiplicative renormalizability and the approach to the {\it continuum limit} for the renormalized gluon propagator $D_{ren}(p)$ at momenta $|p| \ageq 0.6$ 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 pole-like behavior $\sim (p^2+m_g^2)^{-1}$ for momenta $|p| \aleq 0.6$ GeV. Instead, a Gaussian-type fit works very well in this region. From its width - for a physical volume $(5.0 \mathrm{fm})^4$ - we estimate a corresponding infrared (mass) scale to be $m_\mathrm{IR} \sim 0.7 $ GeV.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.