Lattice calculation of gluon screening masses

Nakamura, Atsushi; Saito, Takuya; Sakai, S.

doi:10.1103/physrevd.69.014506

Cited by 113 publications

(164 citation statements)

References 51 publications

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“…In SU (2) gauge theory various authors [27,28,29,30,31,32,33,34,35] give a value m 3 /g 2 3 ≃ 0.32, and one SU (3) lattice study [36] gives a value of 0.48. The quantity m 3 /g 2 3 should be linear in N of SU (N ) for large N , and the factor 3/2 nicely converts the SU (2) values to the SU (3) value, so we use 0.48 as the SU (3) value.…”

Section: The Final Conjecture and Its Consequences A Heuristic Mmentioning

confidence: 99%

“…Moreover, by appealing to known d = 3 gauge dynamics, we can estimate the d = 4 coupling strength in terms of the renormalization constant Z. In d = 3 the coupling g 2 3 has dimensions of mass, and there is a unique [for given SU (N )] dynamically-determined ratio M/g 2 3 , which has been estimated by a number of authors [27,28,29,30,31,32,33,34,35,36,37]. Knowing only this ratio we can estimate the d = 4 QCD coupling α s (M 2 ), getting a value around 0.4Z.…”

Section: Introductionmentioning

confidence: 99%

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Conjecture on the infrared structure of the vacuum Schrödinger wave functional of QCD

Cornwall

2007

Phys. Rev. D

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The Schrödinger wave functional ψ = exp −S{A a i ( x)} for the d = 3+1 QCD vacuum is a partition function constructed in d = 4; the exponent 2S [in |ψ| 2 = exp(−2S)] plays the role of a d = 3 Euclidean action. We start from a simple conjecture for S based on dynamical generation of a gluon mass M in d = 4, then use earlier techniques of the author to extend (in principle) the conjectured form to full non-Abelian gauge invariance. We argue that the exact leading term, of O(M ), in an expansion of S in inverse powers of M is a d = 3 gauge-invariant mass term (gauged non-linear sigma model); the next leading term, of O(1/M ), is a conventional Yang-Mills action. The d = 3 action that is (twice) the sum of these two terms has center vortices as classical solutions. The d = 3 gluon mass m3, which we constrain to be the same as M , and d = 3 coupling g 2 3 are related through the conjecture to the d = 4 coupling strength, but at the same time the dimensionless ratio m3/g 2 3 can be estimated from d = 3 dynamics. This allows us to estimate the d = 4 coupling αs(M 2 ) in terms of the strictly d = 3 ratio m3/g 2 3 ; we find a value of about 0.4, in good agreement with an earlier theoretical value but somewhat low compared to the QCD phenomenological value of 0.7 ± 0.3. The wave functional for d = 2 + 1 QCD has an exponent that is a d = 2 infrared-effective action having both the gauge-invariant mass term and the field strength squared term, and so differs from the conventional QCD action in two dimensions, which has no mass term. This conventional d = 2 QCD would lead in d = 3 to confinement of all color-group representations. But with the mass term (again leading to center vortices), only N -ality ≡ 0 mod N representations can be confined (for gauge group SU (N )), as expected.

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Section: The Final Conjecture and Its Consequences A Heuristic Mmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Conjecture on the infrared structure of the vacuum Schrödinger wave functional of QCD

Cornwall

2007

Phys. Rev. D

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“…The magnetic screening mass in the case of SU (2) (18)T c . In the case of quenched SU(3), [26] obtained using the data in the region of T > 1.5T c , m e /T = 1.69(4)g(T ) and m m /T = 0.549(16)g 2 (T ). Since the electric and the magnetic gluon propagator of [26] are normalized to 1 at z = 0 and the critical temperature of the quenched configuration T c ∼ 269 ± 1MeV [15] is much higher than that of the unquenched configuration, we cannot compare quantitatively their data with ours, but their data of T /T c = 1.32 are consistent with ours within errors.…”

Section: The Finite Temperature Gluon Propagatormentioning

confidence: 99%

Infrared features of unquenched finite temperature lattice Landau gauge QCD

Furui

Nakajima

2007

Phys. Rev. D

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The color diagonal and color antisymmetric ghost propagators slightly above Tc of N f = 2 MILC 24 3 × 12 lattices are measured and compared with zero temperature unquenched N f = 2 + 1 MILCc 20 3 × 64 and MILC f 28 3 × 96 lattices and zero temperature quenched 56 4 β = 6.4 and 6.45 lattices. The expectation value of the color antisymmetric ghost propagator φ c (q) is zero but its Binder cumulant, which is consistent with that of N 2 c − 1 dimensional Gaussian distribution below Tc, decreases above Tc. Although the color diagonal ghost propagator is temperature independent, the l 1 norm of the color antisymmetric ghost propagator is temperature dependent. The expectation value of the ghost condensate observed at zero temperature unquenched configuration is consistent with 0 in T > Tc.We also measure transverse, magnetic and electric gluon propagator and extract gluon screening masses. The running coupling measured from the product of the gluon dressing function and the ghost dressing function are almost temperature independent but the effect of A 2 condensate observed at zero temperature is consistent with 0 in T > Tc.The transverse gluon dressing function at low temperature has a peak in the infrared at low temperature but it becomes flatter at high temperature. The magnetic gluon propagator at high momentum depends on the temperature. These data imply that the magnetic gluon propagator and the color antisymmetric ghost propagator are affected by the presence of dynamical quarks and there are strong non-perturbative effects through the temperature-dependent color anti-symmetric ghost propagator.

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“…T c also derived from lattice QCD [16]. This temperature and energy-dependent jet-medium coupling shows an effective running as it decreases with temperature.…”

Section: Resultsmentioning

confidence: 99%

Constraints on the Jet-Medium Coupling from Measurements at RHIC and LHC

Betz

Senzel

Greiner

et al. 2016

Nuclear and Particle Physics Proceedings

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The measured data on the nuclear modification factor for pions and reconstructed jets as well as on the high-p T elliptic flow at RHIC and LHC energies are compared to results from a linear pQCD and a highly non-linear hybrid AdS holographic model of jet-energy loss. We find that the high-p T ellitic flow requires to include realistic medium transverse flow fields and a jet-medium coupling including the effects of the energy of the jet, the temperature of the bulk medium, and non-equilibrium effects close to the phase transition. We extend our jet-energy loss model that is coupled to state-of-the-art hydrodynamic prescriptions to backgrounds generated by the parton cascade BAMPS. We demonstrate that the results for the hydrodynamic and the parton-cascade backgrounds show a remarkable similarity. Unfortunately, the results for both the pion and a parton-jet nuclear modification factor are insensitive to the jet-path dependence of the models considered.

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Lattice calculation of gluon screening masses

Cited by 113 publications

References 51 publications

Conjecture on the infrared structure of the vacuum Schrödinger wave functional of QCD

Conjecture on the infrared structure of the vacuum Schrödinger wave functional of QCD

Infrared features of unquenched finite temperature lattice Landau gauge QCD

Constraints on the Jet-Medium Coupling from Measurements at RHIC and LHC

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