Spatial string tension in the deconfined phase of (3+1)-dimensional SU(2) gauge theory

Bali, Gunnar S.; Fingberg, Jochen; Heller, Urs M.; Karsch, Frithjof; Schilling, Klaus

doi:10.1103/physrevlett.71.3059

Cited by 138 publications

(214 citation statements)

References 14 publications

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“…1. On the one hand, center projection may destroy the renormalization group scaling of the spatial string tension known to occur when using the full configurations [30]. This type of scaling violation would be a consequence, and thus a genuine indicator, of vortex physics.…”

Section: Spatial String Tensionmentioning

confidence: 99%

“…Creutz ratio triangles pointing left correspond to β = 2.32, N t = 4, whereas triangles pointing right correspond to β = 2.4, N t = 5), T = 1.4T C (filled symbols; diamonds correspond to β = 2.4, N t = 4, whereas circles correspond to β = 2.3, N t = 3), and T = 1.7T C (crosses correspond to β = 2.48, N t = 4, whereas 'x's correspond to β = 2.37, N t = 3). For comparison, the spatial string tension extracted from full Wilson loops, as interpolated from data reported by Bali et al [30], is displayed: The triangle pointing downwards corresponds to T = 1.4T C , whereas the triangle pointing upwards corresponds to T = 1.7T C . The full spatial string tension at T = 1.1T C is virtually indistinguishable from the zero-temperature value.…”

Section: Spatial String Tensionmentioning

confidence: 99%

“…1, where they are compared with the high-precision data for the full spatial string tension of Bali et al [30]. Since the temperatures used here and in [30] do not coincide, an interpolation of the data points given in [30] had to be carried out to arrive at the values depicted in Fig.…”

Section: Spatial String Tensionmentioning

confidence: 99%

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Deconfinement in SU(2) Yang-Mills theory as a center vortex percolation transition

et al. 2000

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By fixing lattice Yang-Mills configurations to the maximal center gauge and subsequently applying the technique of center projection, one can identify center vortices in these configurations. Recently, center vortices have been shown to determine the string tension between static quarks at finite temperatures (center dominance); also, they correctly reproduce the deconfining transition to a phase with vanishing string tension. After verifying center dominance also for the socalled spatial string tension, the present analysis focuses on the global topology of vortex networks. General arguments are given supporting the notion that the deconfinement transition in the center vortex picture takes the guise of a percolation transition. This transition is detected in Monte Carlo experiments by concentrating on various slices through the closed vortex surfaces; these slices, representing loops in lattice universes reduced by one dimension, clearly exhibit the expected transition from a percolating to a non-percolating, deconfined, phase. The latter phase contains a large proportion of vortex loops winding around the lattice in the Euclidean time direction. At the same time, an intuitive picture clarifying the persistence of the spatial string tension in the deconfined phase emerges.

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Section: Spatial String Tensionmentioning

confidence: 99%

Section: Spatial String Tensionmentioning

confidence: 99%

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Deconfinement in SU(2) Yang-Mills theory as a center vortex percolation transition

et al. 2000

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“…The 4D gauge coupling g(T ) have been determined from the temperature-dependence of the spatial string tension in (SU (2)) 4D in the 1-loop calculation [33]: The string tension of the dimensional reduced (GG) 3D have been measured in Ref. [6] and the value is fitted well only in terms of the gauge coupling as √ σ (GG) 3D = 0.326(7)g 2 3 .…”

Section: The 3-dimensional Su(2) Georgi-glashow Model On the Latticementioning

confidence: 99%

Effective Monopole Action at Finite Temperature in SU(2) Gluodynamics

Ishiguro¹,

Suzuki²,

Yazawa³

2002

J. High Energy Phys.

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Effective monopole action at finite temperature in SU(2) gluodynamics is studied on anisotropic lattices. Using an inverse Monte-Carlo method and the blockspin transformation for space directions, we determine 4-dimensional effective monopole action at finite temperature. We get an almost perfect action in the continuum limit under the assumption that the action is composed of two-point interactions alone. It depends on a physical scale b s and the temperature T . The temperature-dependence appears with respect to the spacelike monopole couplings in the deconfinement phase, whereas the timelike monopole couplings do not show any appreciable temperature-dependence. The dimensional reduction of the 4-dimensional SU(2) gluodynamics ((SU(2)) 4D ) at high temperature is the 3-dimensional Georgi-Glashow model ((GG) 3D ). The latter is studied at the parameter region obtained from the dimensional reduction. We compare the effective instanton action of (GG) 3D with the timelike monopole action obtained from (SU(2)) 4D . We find that both agree very well for T ≥ 2.4T c at large b region. The dimensional reduction works well also for the effective action.

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“…The heavy quark potential which is confining in the low temperature region becomes Debye-screened at high temperature. On the other hand the pseudo-potential from spatial Wilson loops is confining for all temperatures [13][14][15]. So far most of the work has been concentrated on the calculation of screening masses obtained from spatial correlators which do not have a direct connection to the physical mass of a resonance as defined for instance by the position of a peak in the spectral function.…”

Section: Introductionmentioning

confidence: 99%

Heavy quarkonia at high temperature

Fingberg

1998

Physics Letters B

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We present a new method to study the properties of heavy quarks at finite temperature. It combines non-relativistic QCD with an improved gluonic action on anisotropic lattices. The efficiency of the approach is demonstrated by the first non-perturbative calculation of the temperature dependence of low-lying quarkonium "pole" masses. For ground state meson masses in the region between charmonium and bottomonium we find only very little variation up to our highest temperature which corresponds to T ≈ 1.2 T c while first excited states indicate a large mass shift.

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Spatial string tension in the deconfined phase of (3+1)-dimensional SU(2) gauge theory

Cited by 138 publications

References 14 publications

Deconfinement in SU(2) Yang-Mills theory as a center vortex percolation transition

Deconfinement in SU(2) Yang-Mills theory as a center vortex percolation transition

Effective Monopole Action at Finite Temperature in SU(2) Gluodynamics

Heavy quarkonia at high temperature

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