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Title: | Lattice Gluon and Ghost Propagators, and the Strong Coupling in Pure SU(3) Yang-Mills Theory: Finite Lattice Spacing and Volume Effects | Authors: | Anthony G. Duarte Oliveira, Orlando Paulo J. Silva |
Issue Date: | 2016 | Serial title, monograph or event: | Phys. Rev. D 94, 014502 (2016) | Volume: | 94 | Issue: | 1 | Abstract: | The dependence of the Landau gauge two point gluon and ghost correlation functions on the lattice spacing and on the physical volume are investigated for pure SU(3) Yang-Mills theory in four dimensions using lattice simulations. We present data from very large lattices up to $128^4$ and for two lattice spacings $0.10$ fm and $0.06$ fm corresponding to volumes of $\sim$ (13 fm)$^4$ and $\sim$ (8 fm)$^4$, respectively. Our results show that, for sufficiently large physical volumes, both propagators have a mild dependence on the lattice volume. On the other hand, the gluon and ghost propagators change with the lattice spacing $a$ in the infrared region, with the gluon propagator having a stronger dependence on $a$ compared to the ghost propagator. In what concerns the strong coupling constant $\alpha_s (p^2)$, as defined from gluon and ghost two point functions, the simulations show a sizeable dependence on the lattice spacing for the infrared region and for momenta up to $\sim 1$ GeV. | URI: | https://hdl.handle.net/10316/44720 | DOI: | 10.1103/PhysRevD.94.014502 | Rights: | openAccess |
Appears in Collections: | I&D CFis - Artigos em Revistas Internacionais FCTUC Física - Artigos em Revistas Internacionais |
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PhysRevD.94.014502.pdf | 712.61 kB | Adobe PDF | View/Open |
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