Landau gauge gluon and ghost propagators at finite temperature from quenched lattice QCD

Aouane, R.; Bornyakov, V. G.; Ilgenfritz, Ernst-Michael; Mitrjushkin, V.K.; Müller–Preussker, M.; Sternbeck, André

doi:10.1103/physrevd.85.034501

Cited by 83 publications

(121 citation statements)

References 68 publications

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“…5. These findings are similar to [101] (low-temperature results are not shown there), where two sets of finite-temperature RGZ fits to the SU (3) lattice data were used [102,103], in contrast with our usage of zero-temperature SU(2) data. In any case, a more involved analysis of the RGZ finite-temperature dynamics is needed to make firmer statements.…”

Section: Outlook To the Refined Gribov-zwanziger Formalismmentioning

confidence: 42%

Effect of the Gribov horizon on the Polyakov loop and vice versa

et al. 2015

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We consider finite-temperature SU(2) gauge theory in the continuum formulation, which necessitates the choice of a gauge fixing. Choosing the Landau gauge, the existing gauge copies are taken into account by means of the Gribov-Zwanziger quantization scheme, which entails the introduction of a dynamical mass scale (Gribov mass) directly influencing the Green functions of the theory. Here, we determine simultaneously the Polyakov loop (vacuum expectation value) and Gribov mass in terms of temperature, by minimizing the vacuum energy w.r.t. the Polyakov-loop parameter and solving the Gribov gap equation. Inspired by the Casimir energy-style of computation, we illustrate the usage of Zeta function regularization in finite-temperature calculations. Our main result is that the Gribov mass directly feels the deconfinement transition, visible from a cusp occurring at the same temperature where the Polyakov loop becomes nonzero. In this exploratory work we mainly restrict ourselves to the original Gribov-Zwanziger quantization procedure in order to illustrate the approach and the potential direct link between the vacuum structure of the theory (dynamical mass scales) and (de)confinement. We also present a first look at the critical temperature obtained from the refined Gribov-Zwanziger approach. Finally, a particular problem for the pressure at low temperatures is reported. a

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Section: Outlook To the Refined Gribov-zwanziger Formalismmentioning

confidence: 42%

Effect of the Gribov horizon on the Polyakov loop and vice versa

et al. 2015

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“…In this figure, the DSE results for the transversal and longitudinal gluon dressing functions 6 are shown for quenched QCD (solid lines) and for QCD with N f = 2 fermions (dashed lines). The DSE solutions for N f = 0 are tuned such that they agree with quenched lattice data (not shown), for example, from [56,61]. It is reassuring that then their DSE solutions for N f = 2-using the quenched DSE solutions and a suitable ansatz (truncation) for the fermionic back reaction-more or less match with our N f = 2 lattice data (open symbols in Fig.…”

Section: The Gluon and Ghost Propagators At Finite Temperaturementioning

confidence: 78%

“…Our lattice data thus gave strong Figure 6. From [55]: Longitudinal (Z L , top) and transversal (Z T , bottom) gluon dressing function vs. p. Solid lines are DSE solutions tuned such that they match our quenched lattice results (not shown) from [56]. Dashed lines are DSE solutions which incorporate quark effects.…”

Section: The Gluon and Ghost Propagators At Finite Temperaturementioning

confidence: 99%

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QCD propagators and vertices from lattice QCD (in memory of Michael Müller-Preußker)

Sternbeck

2017

EPJ Web Conf.

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Abstract. We review lattice calculations of the elementary Greens functions of QCD with a special emphasis on the Landau gauge. These lattice results have been of interest to continuum approaches to QCD over the past 20 years. They are used as reference for Dyson-Schwinger-and functional renormalization group equation calculations as well as for hadronic bound state equations. The lattice provides low-energy data for propagators and three-point vertices in Landau gauge at zero and finite temperature even including dynamical fermions. We summarize Michael Müller-Preußker's important contributions to this field and put them into the perspective of his other research interests.

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“…The study of gluon correlation functions in gauge-fixed QCD has garnered interest for quite some time, both with lattice simulations and with functional approaches, for finite-temperature results see e.g. [26][27][28][29][30][31] and [32][33][34][35][36][37][38][39], respectively. The extraction of the corresponding spectral functions is, however, hampered by the fact that gauge-fixed gluon spectra contain non-positive-definite contributions; see e.g.…”

Section: Introductionmentioning

confidence: 99%

Finite-temperature gluon spectral functions from $$N_f=2+1+1$$ N f = 2 + 1 + 1 lattice

et al. 2018

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We investigate gluon correlation functions and spectral functions at finite temperature in Landau gauge on lattice QCD ensembles with N f = 2 + 1 + 1 dynamical twisted-mass quarks flavors, generated by the tmfT collaboration. They cover a temperature range from 0.8 ≤ T /T C ≤ 4 using the fixed-scale approach. Our study of spectral properties is based on a novel Bayesian approach for the extraction of non-positive-definite spectral functions. For each binned spatial momentum we take into account the gluon correlation functions at all available discrete imaginary frequencies. Clear indications for the existence of a well defined quasiparticle peak are obtained. Due to a relatively small number of imaginary frequencies available, we focus on the momentum and temperature dependence of the position of this spectral feature. The corresponding dispersion relation reveals different in-medium masses for longitudinal and transversal gluons at high temperatures, qualitatively consistent with weak coupling expectations.

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Landau gauge gluon and ghost propagators at finite temperature from quenched lattice QCD

Cited by 83 publications

References 68 publications

Effect of the Gribov horizon on the Polyakov loop and vice versa

Effect of the Gribov horizon on the Polyakov loop and vice versa

QCD propagators and vertices from lattice QCD (in memory of Michael Müller-Preußker)

Finite-temperature gluon spectral functions from $$N_f=2+1+1$$ N f = 2 + 1 + 1 lattice

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