Thermal extension of the screened massive expansion in the Landau gauge

Siringo, Fabio; Comitini, Giorgio

doi:10.1103/physrevd.103.074014

Cited by 7 publications

(14 citation statements)

References 41 publications

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“…As an application of the Screened Massive Expansion presented in Chpt. 3, in this chapter we summarize the main findings of [CS18], [CRBS21] and [SC21] regarding the thermal behavior of the gluons in pure Yang-Mills theory and the dynamical generation of a mass for the quarks in full QCD. In Sec.…”

Section: Discussionmentioning

confidence: 99%

“…4.1 we will extend the GEP analysis of Sec. 3.1.1 to finite temperature [CS18] and study the gluon propagator and its poles as functions of the temperature [SC21]. In Sec.…”

Section: Discussionmentioning

confidence: 99%

“…In [Sir17c,SC21] the Screened Massive Expansion of pure Yang-Mills theory was extended to non-zero temperatures with the aim of studying the temperature-dependence of the gluon propagator and of deriving dispersion relations for the gluon quasi-particles. A comparison with the lattice data yielded good results in the (spatially) transverse sector and mixed results in the (spatially) longitudinal sector, the latter accounted for by the fact that a 4-dimensionally transverse gluon mass term for the gluons might be sub-optimal at high temperatures.…”

Section: Massive Perturbative Formulations Of Quantum Chromodynamics ...mentioning

confidence: 99%

“…The optimization of the two-point sector of pure Yang-Mills theory was completed in [Sir19a,Sir19b] with the determination of the parameters of the ghost propagator. The results of [SC18] were used as a starting point for the studies carried out in [CRBS21,SC21].…”

Section: Massive Perturbative Formulations Of Quantum Chromodynamics ...mentioning

confidence: 99%

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Screened massive expansion of the quark propagator in the Landau gauge

et al. 2021

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The objective of this thesis is to present two new perturbative frameworks for the study of low-energy Quantum Chromodynamics (QCD), termed the Screened Massive Expansion and the Dynamical Model. Both the frameworks paint a picture of the infrared regime of QCD which is consistent with the current knowledge provided by the lattice calculations and by other non-perturbative methods, displaying dynamical mass generation in the gluon sector and a massless ghost propagator. The Screened Massive Expansion achieves this by operating a shift of the QCD perturbative series, performed by adding a mass term for the transverse gluons in the kinetic part of the Faddeev-Popov Lagrangian and subtracting it back from its interaction part so that the total action remains unchanged. The Dynamical Model, on the other hand, interprets the generation of a dynamical mass for the gluons as being triggered by a non-vanishing condensate of the form ⟨(A h ) 2 ⟩, where A h is a gaugeand BRST-invariant non-local version of the gluon field, and explores the consequences of the inclusion of the former in the partition function of the theory. Since the main focus of this thesis is on the gauge sector of QCD, most of our calculations will be carried out in the context of pure Yang-Mills theory. There we will show that the gluon and the ghost propagator derived by making use of the two frameworks are in good agreement with the Euclidean Landau-gauge lattice data, within the limits of a one-loop approximation. During the course of the thesis we will address topics such as the first-principles status of the two methods, the absence of Landau poles from the strong running coupling constant and the extension of the Screened Massive Expansion to finite temperatures and to full QCD. Future research prospects are discussed in the Conclusions.

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Section: Discussionmentioning

confidence: 99%

“…4.1 we will extend the GEP analysis of Sec. 3.1.1 to finite temperature [CS18] and study the gluon propagator and its poles as functions of the temperature [SC21]. In Sec.…”

Section: Discussionmentioning

confidence: 99%

Section: Massive Perturbative Formulations Of Quantum Chromodynamics ...mentioning

confidence: 99%

Section: Massive Perturbative Formulations Of Quantum Chromodynamics ...mentioning

confidence: 99%

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Screened massive expansion of the quark propagator in the Landau gauge

et al. 2021

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“…Quite recently, by a change of the expansion point, a new perturbative approach has been developed [48][49][50][51][52][53][54][55][56][57][58], a screened massive expansion which is perfectly sound in the IR and has the usual merits of ordinary perturbation theory: calculability, analytical outputs and a manifest description of the analytic properties in the complex plane. The method gives direct and quantitative predictions for the poles of the gluon propagator which appear as complex conjugated polar singularities [50,56,57].…”

Section: Introductionmentioning

confidence: 99%

The Nielsen identities in screened theories

Siringo¹,

Comitini²

2022

Preprint

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One-loop explicit expressions are derived for the gluon Nielsen identity in the formalism of the screened massive expansion for Yang-Mills theory. The gauge-parameter-independence of the poles and residues is discussed in a strict perturbative context and, more generally, in extended resummation schemes. No exact formal proof was reached by the approximate resummation schemes, but some evidence is gathered in favor of an exact invariance of the phase, consistently with previous numerical studies.

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Deconfinement, center symmetry and the ghost propagator in Landau gauge pure SU(3) Yang-Mills theory

Paiva,

Silva,

Oliveira

2024

J. High Energ. Phys.

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The temperature dependence of the Landau gauge ghost propagator is investigated in pure SU(3) Yang-Mills theory with lattice QCD simulations. Its behavior around the confined-deconfined phase transition temperature, Tc ∼ 270 MeV, is investigated. The simulations show that in the deconfined phase, the ghost propagator is enhanced for small momenta, ≲ 1 GeV. Furthermore, the analysis of the spontaneous breaking of center symmetry on the ghost propagator is studied. Similarly as observed for the gluon propagator, the simulations result in a decoupling of the sectors where the phase of the Polyakov loop is either 0 or ±2π/3 sectors, with the latter remaining indistinguishable. The results point to the possible use of the ghost propagator as an “order parameter” for the confined-deconfined phase transition.

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Thermal extension of the screened massive expansion in the Landau gauge

Cited by 7 publications

References 41 publications

Screened massive expansion of the quark propagator in the Landau gauge

Screened massive expansion of the quark propagator in the Landau gauge

The Nielsen identities in screened theories

Deconfinement, center symmetry and the ghost propagator in Landau gauge pure SU(3) Yang-Mills theory

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