To What Extent is Gluon Confinement an Empirical Fact?

Delgado, Rafael L.; Hidalgo-Duque, Carlos; Llanes-Estrada, Felipe J.

doi:10.1007/s00601-012-0500-5

Cited by 8 publications

(13 citation statements)

References 24 publications

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“…Searching for empirical evidence for either Yang-Mills scenario made us observe that not even gluon confinement stands on solid empirical footing [8]. What has been experimentally established is quark confinement, by modern reassesments of Millikan's experiments against fractional charges at rest [9] as well as energy deposition in high energy reactions [10] that exclude energetic quarks (see Fig.…”

Section: Empirical Studies Of Gluon Confinementmentioning

confidence: 99%

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Llanes-Estrada¹,

Hidalgo-Duque²,

Williams³

2013

Acta Phys. Pol. B Proc. Suppl.

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We examine the two solutions (massive and scaling) for the covariant Yang-Mills Dyson-Schwinger equations within stochastic quantization, and find that the scaling solution does not survive outside Landau gauge. We also see that the (rainbow) massive solution has less Faddeev-Popov effective action. Finally, we argue that gluon confinement has only been marginally established in experiment and suggest further empirical work.

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Section: Empirical Studies Of Gluon Confinementmentioning

confidence: 99%

“…The decay is, however, kinematically closed for both infrared solutions, that are gapped. Υ → ggg has sufficient phase space, but 40 keV of its width is currently unaccounted for, so only a loose bound σ bb → ggg < 0.1µ barn can be obtained [8]. Proposal to obtain collider bounds on gluon confinement.…”

Section: Empirical Studies Of Gluon Confinementmentioning

confidence: 99%

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Llanes-Estrada¹,

Hidalgo-Duque²,

Williams³

2013

Acta Phys. Pol. B Proc. Suppl.

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“…Thereby, Abelian refers to the part of the gauge field living in the Cartan subalgebra, which consists only of diagonal matrices and is thus also referred to as diagonal part. 9 The gauge field is maximally Abelian if the norm of the parts of the gauge field not in the Abelian subalgebra is minimized.…”

Section: The Dual Superconductor Picture Of Confinement and Abelian I...mentioning

confidence: 99%

“…The two most prominent ones are confinement and chiral symmetry breaking. Confinement describes the fact that no free quark or gluon has ever been observed [5][6][7][8][9]. Many different mechanisms have been proposed to explain this, see, e.g., Refs.…”

Section: Introductionmentioning

confidence: 99%

Nonperturbative properties of Yang-Mills theories

Huber¹

2018

Preprint

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Yang-Mills theories are an important building block of the standard model and in particular of quantum chromodynamics. Its correlation functions describe the behavior of its elementary particles, the gauge bosons. In quantum chromodynamics, the correlation functions of the gluons are basic ingredients for calculations of hadrons from bound state equations. They also provide access to the phase diagram. Correlation functions of gluons are defined only in a gauge fixed setting. The focus of many studies is the Landau gauge which has some features that alleviate calculations. I discuss recent results of correlation functions in this gauge obtained from their equations of motions. Besides the four-dimensional case also two and three dimensions are treated, since the effects of truncations, viz., the procedure to render the infinitely large system of equations finite, can be studied more directly in these cases. In four dimensions, the anomalous running of dressing functions plays a special role and it is explained how resummation is realized in the case of Dyson-Schwinger equations. Beyond the Landau gauge other gauges can provide additional insights or can alleviate the development of new methods. Some aspects or ideas are more easily accessible in alternative gauges and the results presented here for linear covariant gauges, the Coulomb gauge and the maximally Abelian gauge help to refine our understanding of Yang-Mills theories.

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“…Second, we limit ourselves to the large-N c counting and note that the two diagrams are of the same order (differences would arise if we included baryons [33]). Thus, in leading-1/N c accuracy (or 40%), we cannot distinguish whether a parton or a meson entered the pion gas and we thus employ the same cross section for illustrational purposes.…”

Section: Passage Of a Multiparticle Jet Through The Hadron Mattermentioning

confidence: 99%

Soft interactions in jet quenching

Hidalgo-Duque

Llanes-Estrada

2015

Int. J. Mod. Phys. A

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We study the collisional aspects of jet quenching in a high energy nuclear collision, especially in the final state pion gas. The jet has a large energy, and acquires momentum transverse to its axis more effectively by multiple soft collisions than by few hard scatterings (as known from analogous systems such as J/ψ production at Hera). Such regime of large E and small momentum transfer corresponds to Regge kinematics and is characteristically dominated by the pomeron. From this insight we estimate the jet quenching parameter in the hadron medium (largely a pion gas) at the end of the collision, which is naturally small and increases with temperature in line with the gas density. The physics in the quark-gluon plasma/liquid phase is less obvious, and here we revisit a couple of simple estimates that suggest indeed that the pomeron-mediated interactions are very relevant and should be included in analysis of the jet quenching parameter. Finally, the ocasional hard collisions produce features characteristic of a Lèvy flight in the q 2 ⊥ plane perpendicular to the jet axis. We suggest one-and two-particle q ⊥ correlations as interesting experimental probes.

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To What Extent is Gluon Confinement an Empirical Fact?

Cited by 8 publications

References 24 publications

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Nonperturbative properties of Yang-Mills theories

Soft interactions in jet quenching

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