Structure of hybrid static potential flux tubes in Lattice Yang-Mills-theory

Müller, Lasse; Philipsen, Owe; Reisinger, Christian; Wagner, Marc

doi:10.22323/1.336.0053

Cited by 5 publications

(6 citation statements)

References 27 publications

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“…Furthermore, 3-point functions will provide interesting insights concerning the gluon distribution inside heavy hybrid mesons. We have presented first corresponding results at recent conferences [63,64].…”

Section: Discussionmentioning

confidence: 99%

Precision computation of hybrid static potentials in SU(3) lattice gauge theory

et al. 2019

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We perform a precision computation of hybrid static potentials with quantum numbers ΛThe resulting potentials are used to estimate masses of heavycc andbb hybrid mesons in the Born-Oppenheimer approximation. Part of the lattice gauge theory computation, which we discuss in detail, is an extensive optimization of hybrid static potential creation operators. The resulting optimized operators are expected to be essential for future projects concerning the computation of 3-point functions as e.g. needed to study spin corrections, decays or the gluon distribution of heavy hybrid mesons.

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Section: Discussionmentioning

confidence: 99%

Precision computation of hybrid static potentials in SU(3) lattice gauge theory

et al. 2019

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“…While such flux tubes have been studied for the ordinary static potential using lattice gauge theory for quite some time (see refs. [33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48]), this is a rather new direction for hybrid static potentials, where first results appeared only recently [49][50][51][52]. In this paper we substantially extend existing work by performing computations for seven hybrid static potential sectors characterized by quantum numbers Λ ( )…”

Section: Introductionmentioning

confidence: 92%

“…Five of these sectors are studied for the first time, where preliminary results have been presented at a recent conference [52].…”

Section: Introductionmentioning

confidence: 99%

Hybrid static potential flux tubes from SU(2) and SU(3) lattice gauge theory

et al. 2019

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We compute chromoelectric and chromomagnetic flux densities for hybrid static potentials in SU(2) and SU(3) lattice gauge theory. In addition to the ordinary static potential with quantum numbers Λ η = Σ + g , we present numerical results for seven hybrid static potentials corresponding to Λwhere the flux densities of five of them are studied for the first time in this work. We observe hybrid static potential flux tubes, which are significantly different from that of the ordinary static potential. They are reminiscent of vibrating strings, with localized peaks in the flux densities that can be interpreted as valence gluons. arXiv:1907.01482v2 [hep-lat]

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“…Recent times have witnessed an increasing numerical effort toward a more comprehensive numerical description of the color field around static sources, via the measurement of all components of both chromoelectric and chromomagnetic fields on all transverse planes passing through the line between the quarks [38]; of the spatial distribution of the stress energy-momentum tensor [39,40]; and the flux densities for hybrid static potentials [41,42]. A more complete numerical description of the color field around the sources brings improved visualization, enabling us to grasp features otherwise less visible.…”

Section: Introductionmentioning

confidence: 99%

The confining color field in SU(3) gauge theory

Baker¹,

Cea²,

Chelnokov³

et al. 2020

Eur. Phys. J. C

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We extend a previous numerical study of SU(3) Yang-Mills theory in which we measured the spatial distribution of all components of the color fields surrounding a static quark-antiquark pair and provided evidence that the simulated gauge invariant chromoelectric field can be separated into a Coulomb-like 'perturbative' field and a 'nonperturbative' confining field. In this paper we hypothesize that the fluctuating color fields not measured in our simulations do not contribute to the string tension. Under this assumption the string tension is determined by the color fields we measure, which form a field strength tensor pointing in a single direction in color space. We call this the 'Maxwell picture of confinement'. We provide an additional procedure to isolate the confining field. We then extract the string tension from a stress energy-momentum tensor having the Maxwell form, constructed from the simulated non-perturbative part of the field strength tensor. To test our hypothesis we calculate the string tension for values of the quark-antiquark separation ranging from 0.37 fm to 1.2 fm. We also calculate the spatial distributions of the energy-momentum tensor surrounding static quarks for this range of separations, and we compare with the distributions obtained from direct simulations of the energy-momentum tensor.

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Structure of hybrid static potential flux tubes in Lattice Yang-Mills-theory

Cited by 5 publications

References 27 publications

Precision computation of hybrid static potentials in SU(3) lattice gauge theory

Precision computation of hybrid static potentials in SU(3) lattice gauge theory

Hybrid static potential flux tubes from SU(2) and SU(3) lattice gauge theory

The confining color field in SU(3) gauge theory

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