Color flux profiles in SU(2) lattice gauge theory

Schlichter, C.; Bali, Gunnar S.; Schilling, Klaus

doi:10.1016/0920-5632(95)00224-w

Cited by 13 publications

(4 citation statements)

References 6 publications

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“…To compute the physical width of the flux tube, we fit the energy density data in mediator plane with appropriate fit function, F(x⊥). There are many kinds of fitting techniques and functions used in previous studies [3][4][5][6]. We here present the technique and function that is consistent with our middle transverse energy density data.…”

Section: Figure 1 2d Projection Of the Flux Tubesupporting

confidence: 66%

“…Fitting techniques are commonly used in lattice gauge theory and particularly, in computing the width of the flux tube. There are several conventional fit functions [3][4][5] that are applied for determining the width in overall conditions. In our case this is the first time computing the width of the flux tube with dynamical fermions after using it to calculate the pure gauge flux tube.…”

Section: Figure 1 2d Projection Of the Flux Tubementioning

confidence: 99%

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Finding a suitable fit function used to determine the Physical width of the Flux tube with Dynamical fermions

Purev

Chagdaa

Galsandorj

2020

Proc. Mong. Acad. Sci.

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We have determined the width of the flux tube for several temperatures and distances using four different fit functions in order to determine the appropriate function that fits the data of the middle transverse distribution of flux tube with the dynamical fermions. Our results have revealed that only one fitting function cannot determine the width of the flux tube at the given temperatures and distances. We conclude that appropriate fit functions are a four coefficient function where R < 0.8 fm and where Gaussian function is R > 0.8 fm.

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Section: Figure 1 2d Projection Of the Flux Tubesupporting

confidence: 66%

Section: Figure 1 2d Projection Of the Flux Tubementioning

confidence: 99%

Finding a suitable fit function used to determine the Physical width of the Flux tube with Dynamical fermions

Purev

Chagdaa

Galsandorj

2020

Proc. Mong. Acad. Sci.

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“…In the SPM to consider the color interaction among the partons of the projectiles, we will throw randomly N penetrable discs (namely strings) coming from the projection on the impact parameter plane of extended objects (color flux tubes) along the rapidity axis with color charges at their ends. The color of these strings is confined in a projected area, which in the impact parameter transverse plane is considered as a small area S 0 = πr 2 0 , with r 0 ∼ .25f m [21,22,23].…”

Section: Introductionmentioning

confidence: 99%

String percolation threshold for elliptically bounded systems

Ramírez¹,

Téllez²,

Bautista³

2017

Physica A: Statistical Mechanics and its Applications

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It has been shown that a hot and dense deconfined nuclear matter state produced in ultra-relativistic heavy-ion collisions, can be quantitatively described by the String Percolation phenomenological model. The model address the phase transition in terms of the two-dimensional continuum percolation theory over strings, which are schematic representations of the fundamental interactions among the partons of the colliding nuclei in the initial state. In this work, we present an extension of the critical string density results including the eccentricity dependence on the initial state geometry focus on small string number with different density profile, small deviations from the different profile densities are found. The percolation threshold shows consistency with the thermodynamic limit for the uniform density profile with a large number of strings in the case of circular boundary system. A significant dependence on the eccentricity for a small number of strings compared to high occupancy systems is exhibited, the implications may become relevant in hadron-hadron or hadron-nucleus collision systems.

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“…In order to take the continuum limit, we need the data at same 𝑟 for different lattices. Since values of the 𝑟 are different on the various lattice extends, we have to parametrize the transverse profile using following functions [12] and [13]…”

Section: Double Extrapolated Emt Distribution On Mid-planementioning

confidence: 99%

Distribution of energy-momentum tensor around static quarks in SU(3) gauge theory at high temperature

Galsandorj¹,

Chagdaa²,

Purev³

et al. 2022

Proceedings of the 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022)

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In this study, we explore the distribution of energy-momentum tensor around a static quark and an antiquark in SU(3) pure gauge theory at finite temperature. Double extrapolated transverse distributions on mid-plane of the flux tube have been presented for the first time at nonzero temperature. Also, we investigate the spatial distributions of the flux tube on the source plane obtaining from the stress tensor for several 𝑞 q separations and temperatures above and below the critical temperature. The resultant distributions show the detailed structure of the flux tube. Finally, we show the dependence of 𝐹 𝑠𝑡𝑟 𝑒𝑠𝑠 that is computed from the integral of the stress tensor on the distance between the quark and antiquark on a finer lattice.

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Color flux profiles in SU(2) lattice gauge theory

Abstract: Results of a high statistics study of chromo field distributions around static sources in pure SU(2) gauge theory on lattices of volumes 16 4 , 32 4 , and 48 3 × 64 at β = 2.5, 2.635, and 2.74 are presented. We establish string formation up to physical distances as large as 2 fm.

Cited by 13 publications

References 6 publications

Finding a suitable fit function used to determine the Physical width of the Flux tube with Dynamical fermions

Finding a suitable fit function used to determine the Physical width of the Flux tube with Dynamical fermions

String percolation threshold for elliptically bounded systems

Distribution of energy-momentum tensor around static quarks in SU(3) gauge theory at high temperature

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