High precision statistical Landau gauge lattice gluon propagator computation vs. the Gribov-Zwanziger approach

Author(s)

Dudal, David ^{[1, 2]} ; Oliveira, Orlando ^{[3, 4, 5]} ; Silva, Paulo J. ^[5]

Affiliation

^[1] Katholieke Univ Leuven, Dept Phys, Campus Kortrijk Kulak, B-8500 Kortrijk - Belgium

^[2] Univ Ghent, Dept Phys & Astron, Krijgslaan 281-S9, B-9000 Ghent - Belgium

^[3] Univ Cruzeiro Sul, Lab Fis Teor & Computac, BR-01506000 Sao Paulo, SP - Brazil

^[4] DCTA, Inst Tecnol Aeronaut, BR-12228900 Sao Jose Dos Campos - Brazil

^[5] Univ Coimbra, Ctr Fis, Dept Fis, P-3004516 Coimbra - Portugal

• Document type: Journal article
• Source: ANNALS OF PHYSICS; v. 397, p. 351-364, OCT 2018.
• Web of Science Citations: 8

Abstract

In this article we report on lattice results for the Landau gauge gluon propagator using large statistical ensembles. In particular, the compatibility of the lattice data with the tree level predictions of the Refined Gribov-Zwanziger and the Very Refined Gribov-Zwanziger actions is analysed, complementing earlier work using small-scale statistics. Our results show that the data is well described by the tree level estimate only up to momenta p less than or similar to 1 GeV and clearly favours the so-called Refined Gribov-Zwanziger scenario propagator. For the Very Refined Gribov-Zwanziger action, these results imply a particular relation between d = 2 condensates. Furthermore, we also provide a global fit of the lattice data that interpolates between the above scenario at low momenta and the usual continuum one-loop renormalization improved perturbation theory after introducing an infrared log-regularizing term. (C) 2018 Elsevier Inc. All rights reserved. (AU)

• FAPESP's process: 17/01142-4 - From the description of the non-perturbative regime of QCD to the application of quantum field theory to condensed matter physics
• Grantee: Tobias Frederico
• Support Opportunities: Research Grants - Visiting Researcher Grant - International