Glueball-like screening masses in pure SU (3) at finite temperatures

Grossmann, B.; Gupta, Sourendu; Heller, Urs M.; Karsch, Frithjof

doi:10.1016/0550-3213(94)90548-7

Cited by 38 publications

(96 citation statements)

References 26 publications

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“…This situation is somewhat similar to the case of SU(N) gauge theories where the analysis of gauge invariant glueball operators with the quantum numbers of the gluon [16] does lead to much larger screening masses than the direct calculation of the gluon propagator in Landau gauge [17].…”

Section: Introductionmentioning

confidence: 80%

Gauge boson masses in the 3D, SU(2) gauge-Higgs model

et al. 1996

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We study gauge boson propagators in the symmetric and symmetry broken phases of the 3-d, SU(2) gauge-Higgs model. Correlation functions for the gauge fields are calculated in Landau gauge. They are found to decay exponentially at large distances leading to a non-vanishing mass for the gauge bosons. We find that the W-boson screening mass drops in the symmetry broken phase when approaching the critical temperature. In the symmetric phase the screening mass stays small and is independent of the scalar-gauge coupling (the hopping parameter). Numerical results coincide with corresponding calculations performed for the pure gauge theory. We find m w = 0.35(1)g 2 T in this phase which is consistent with analytic calculations based on gap equations. This is, however, significantly smaller than masses extracted from gauge invariant vector boson correlation functions. As internal consistency check we also have calculated correlation functions for gauge invariant operators leading to scalar and vector boson masses. Finite lattice size effects have been systematically analyzed on lattices of size L 2 × L z with L = 4 − 24 and L z = 16 − 128.

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Section: Introductionmentioning

confidence: 80%

Gauge boson masses in the 3D, SU(2) gauge-Higgs model

et al. 1996

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“…in SU(3) isotropic lattice QCD with β lat = 5.93 over the lattice of the size 16 3 × N t with N t = 4, 6, 8 at the quenched level [18,19]. This significant reduction of the screening mass of the glueball would be an indication of the decrease of the nonperturbative nature of the QCD vacuum.…”

Section: Discussion and Remarksmentioning

confidence: 99%

“…Instead, the screening mass has been extensively studied with the lattice QCD [12,17,18,19] by analyzing the spatial correlations of the hadronic correlators. The reason behind this is the technical difficulty of measuring hadronic two-point correlators in the temporal direction at finite temperature on the lattice.…”

Section: Introductionmentioning

confidence: 99%

Glueball properties at finite temperature in SU(3) anisotropic lattice QCD

2002

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The thermal properties of the glueballs are studied using SU(3) anisotropic lattice QCD with β lat = 6.25, the renormalized anisotropy ξ ≡ as/at = 4 over the lattice of the size 20 3 × Nt with Nt = 24,26,28,30, 33, 34, 35, 36, 37, 38, 40, 43, 45, 50, 72 at the quenched level. To construct a suitable operator for the lowest-state glueball on the lattice, we adopt the smearing method, providing an illustration of its physical meaning in terms of the operator size. First, we construct the temporal correlators G(t) for the lowest 0 ++ and 2 ++ glueballs, using more than 5,500 gauge configurations at each temperature T . We then perform the pole-mass measurement of the thermal glueballs from G(t). For the lowest 0 ++ glueball, we observe a significant pole-mass reduction of about 300 MeV in the vicinity of Tc or mG(T ≃ Tc) ≃ 0.8mG(T ∼ 0), while its size remains almost unchanged as ρ(T ) ≃ 0.4 fm. Finally, for completeness, as an attempt to take into account the effect of thermal width Γ(T ) at finite temperature, we perform a more general new analysis of G(t) based on its spectral representation. As an ansatz to the spectral function ρ(ω), we adopt the Breit-Wigner form, and perform the best-fit analysis of the temporal correlator as a straightforward extension to the standard pole-mass analysis. The result indicates a significant broadening of the peak as Γ(T ) ∼ 300 MeV as well as rather modest reduction of the peak center of about 100 MeV near Tc for the lowest 0 ++ glueball. The temporal correlators of the color-singlet modes corresponding to these glueballs above Tc are also investigated.

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“…They are chosen in such a way that one would be obtained by the exchange of two electric gluons while the other would need three, if indeed such gluons are the lightest excitations in the plasma. As a result, the two screening masses would be roughly in the ratio 3/2.Since screening masses involve the transfer matrix in a spatial direction, they are classified by the symmetry group of the lattice sliced perpendicular to a spatial direction [5,6,7]. For the thermodynamics of a 3+1 dimensional field theory realised on a hypercubic Euclidean lattice, since the Euclidean time direction is distinguished from the spatial directions, this is the group…”

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confidence: 99%

Does the QCD plasma contain gluons?

Datta

Gupta

2003

Phys. Rev. D

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Comparison of two appropriately chosen screening masses of colour singlet operators in the pure glue QCD plasma indicates that at sufficiently high temperature it contains a weakly-interacting massive quasi-particle with the quantum numbers of the electric gluon. Still in the deconfined phase, but closer to Tc, the same mass ratio is similar to that at zero temperature, indicating that the propagating modes are more glueball-like, albeit with a lower scale for the masses. We observe a continuity between these two regimes. With the RHIC fully operational and busy taking data, certain questions about the treatment of the QCD plasma have become urgent. One of the most basic is about the modes of excitation in a plasma: does it contain weakly interacting quark and gluon quasi-particles, or some more complicated collective excitations? We show here that lattice computations yield detailed answers to this question.The Debye screening mass, m D , in pure gauge QCD, at temperature T > T c has an expansion in the strong coupling g of the form-where the leading term g is well known, the second term has been extracted in perturbation theory [1] and the non-perturbative coefficients b = 2.46 ± 0.15 and c = −0.49 ± 0.15 have been computed in a lattice simulation of dimensionally reduced QCD [2]. The QCD coupling g has to be evaluated at the scale 6.742T . Since T c /Λ M S = 1.15 ± 0.05 [3], g = O(1) for T /T c ≃ 3 or less, and the error due to the neglect of the g 4 term is about 35d%, where d is the coefficient of this term. As a result, it becomes difficult to validate perturbation theory by comparing this screening mass to lattice data [4].In this work we address a prior question: at temperatures of interest to current and near-future experiments what mediates the longest correlations in the plasma? We examine this by comparing screening masses, m, obtained from correlations of two gauge invariant operators with different symmetry properties. They are chosen in such a way that one would be obtained by the exchange of two electric gluons while the other would need three, if indeed such gluons are the lightest excitations in the plasma. As a result, the two screening masses would be roughly in the ratio 3/2.Since screening masses involve the transfer matrix in a spatial direction, they are classified by the symmetry group of the lattice sliced perpendicular to a spatial direction [5,6,7]. For the thermodynamics of a 3+1 dimensional field theory realised on a hypercubic Euclidean lattice, since the Euclidean time direction is distinguished from the spatial directions, this is the group, where D 4 is the tetragonal group, Z 2 (C) is the charge-conjugation symmetry of the fields, and the Z 2 (T ) factor arises from the symmetry t ↔ −t [5,6]. The transfer matrix can be block diagonalised in irreps of this group.Extensive thermodynamic quantities depend only on the lowest eigenvalue of the transfer matrix, and the phase structure is determined by the degeneracies and symmetries of the corresponding eigenvectors. In high temperat...

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Glueball-like screening masses in pure SU (3) at finite temperatures

Cited by 38 publications

References 26 publications

Gauge boson masses in the 3D, SU(2) gauge-Higgs model

Gauge boson masses in the 3D, SU(2) gauge-Higgs model

Glueball properties at finite temperature in SU(3) anisotropic lattice QCD

Does the QCD plasma contain gluons?

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