English

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

High Energy Physics - Lattice 2015-06-25 v2

Abstract

We present the results of a high statistics lattice study of the gluon propagator, in the Landau gauge, at β=6.0\beta=6.0. As suggested by previous studies, we find that, in momentum space, the propagator is well described by the expression G(k2)=[M2+Zk2(k2/Λ2)η]1G(k^2)= \Big[ M^2 + Z\cdot k^2(k^2/\Lambda^2)^\eta\Big]^{-1} . By comparing G(k2)G(k^2) on different volumes, we obtain a precise determination of the exponent η=0.532(12)\eta=0.532(12), and verify that M2M^2 does not vanish in the infinite volume limit. The behaviour of η\eta and M2M^2 in the continuum limit is not known, and can only be studied by increasing the value of β\beta.

Keywords

Cite

@article{arxiv.hep-lat/9410011,
  title  = {The Gluon Propagator on a Large Volume, at $\beta=6.0$},
  author = {P. Marenzoni and G. Martinelli and N. Stella},
  journal= {arXiv preprint arXiv:hep-lat/9410011},
  year   = {2015}
}

Comments

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