Dependence of the propagators on the sampling of Gribov copies inside the first Gribov region of Landau gauge

Non-Abelian gauge theories with fermions transforming in the adjoint representation of the gauge group (AdjQCD) are a fundamental ingredient of many models that describe the physics beyond the Standard Model. Two relevant examples are N ¼ 1 supersymmetric Yang-Mills (SYM) theory and minimal walking technicolor, which are gauge theories coupled to one adjoint Majorana and two adjoint Dirac fermions, respectively. While confinement is a property of N ¼ 1 SYM, minimal walking technicolor is expected to be infrared conformal. We study the propagators of ghost and gluon fields in the Landau gauge to compute the running coupling in the MiniMom scheme. We analyze several different ensembles of lattice Monte Carlo simulations for the SU(2) adjoint QCD with N f ¼ 1=2; 1; 3=2, and 2 Dirac fermions. We show how the running of the coupling changes as the number of interacting fermions is increased towards the conformal window.

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“…[38], however the full interpretation of the gauge fixing effects on the lattice has been debated, see also Ref. [39].…”

Section: Gauge Fixing and Correlators In Momentum Space On The Latticementioning

confidence: 99%

Running coupling from gluon and ghost propagators in the Landau gauge: Yang-Mills theories with adjoint fermions

Bergner

Piemonte

2018

Phys. Rev. D

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“…This concerns in particular the ghost propagator, shown in Fig. 8(a), which is more sensitive to the treatment of the Gribov copies than the gluon propagator [131].…”

Section: A Nontrivial Backgrounds and Their Impact On Electric And Mmentioning

confidence: 99%

“…The lattice results are of the decoupling type, while our results are of the scaling type. Consequently, possible nonperturbative gauge fixing effects have to be kept in mind; see, e.g., [128][129][130][131]. This concerns in particular the ghost propagator, shown in Fig.…”

Section: A Nontrivial Backgrounds and Their Impact On Electric And Mmentioning

confidence: 99%

Nonperturbative finite-temperature Yang-Mills theory

et al. 2018

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We present nonperturbative correlation functions in Landau-gauge Yang-Mills theory at finite temperature. The results are obtained from the functional renormalisation group within a self-consistent approximation scheme. In particular, we compute the magnetic and electric components of the gluon propagator, and the three-and four-gluon vertices. We also show the ghost propagator and the ghost-gluon vertex at finite temperature. Our results for the propagators are confronted with lattice simulations and our Debye mass is compared to hard thermal loop perturbation theory.

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“…The analysis till now of the lattice Landau gauge gluon propagator used relatively small ensembles of gauge configurations, with several studies relying on (100) gauge configurations per value of β [1,2,3,4,5,6,7,8,9,27,28]. It is therefore quite natural to wonder whether the compatibility of the Landau gauge lattice gluon propagator and the (tree level) predictions of the Refined Gribov-Zwanziger action still holds for very large statistical ensembles of gauge configurations, i.e.…”

mentioning

confidence: 99%

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

2018

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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 1 GeV and clearly favors the so-called Refined Gribov-Zwanziger scenario propagator. For the Very Refined Gribov-Zwanziger action, this results implies 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.

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Dependence of the propagators on the sampling of Gribov copies inside the first Gribov region of Landau gauge

Cited by 23 publications

References 127 publications

Running coupling from gluon and ghost propagators in the Landau gauge: Yang-Mills theories with adjoint fermions

Running coupling from gluon and ghost propagators in the Landau gauge: Yang-Mills theories with adjoint fermions

Nonperturbative finite-temperature Yang-Mills theory

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

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