scholarly journals Static Quark-Antiquark Potential in the Quark-Gluon Plasma from Lattice QCD

2015 ◽  
Vol 114 (8) ◽  
Author(s):  
Yannis Burnier ◽  
Olaf Kaczmarek ◽  
Alexander Rothkopf
Keyword(s):  
Lattice Qcd ◽  
Quark Gluon Plasma ◽  
Gluon Plasma ◽  
Static Quark

scholarly journals Quark Cluster Expansion Model for Interpreting Finite-T Lattice QCD Thermodynamics

Symmetry ◽  
2021 ◽  
Vol 13 (3) ◽  
pp. 514
Author(s):  
David Blaschke ◽  
Kirill A. Devyatyarov ◽  
Olaf Kaczmarek
Keyword(s):  
Lattice Qcd ◽  
Cluster Expansion ◽  
Quark Gluon Plasma ◽  
Degrees Of Freedom ◽  
Gluon Plasma ◽  
Polyakov Loop ◽  
Unified Approach ◽  
Narrow Temperature Interval ◽  
Levinson Theorem ◽  
Expansion Model

In this work, we present a unified approach to the thermodynamics of hadron–quark–gluon matter at finite temperatures on the basis of a quark cluster expansion in the form of a generalized Beth–Uhlenbeck approach with a generic ansatz for the hadronic phase shifts that fulfills the Levinson theorem. The change in the composition of the system from a hadron resonance gas to a quark–gluon plasma takes place in the narrow temperature interval of 150–190 MeV, where the Mott dissociation of hadrons is triggered by the dropping quark mass as a result of the restoration of chiral symmetry. The deconfinement of quark and gluon degrees of freedom is regulated by the Polyakov loop variable that signals the breaking of the Z(3) center symmetry of the color SU(3) group of QCD. We suggest a Polyakov-loop quark–gluon plasma model with O(αs) virial correction and solve the stationarity condition of the thermodynamic potential (gap equation) for the Polyakov loop. The resulting pressure is in excellent agreement with lattice QCD simulations up to high temperatures.

scholarly journals Excited bottomonia in quark-gluon plasma from lattice QCD

2020 ◽  
Vol 800 ◽  
pp. 135119 ◽  
Author(s):  
Rasmus Larsen ◽  
Stefan Meinel ◽  
Swagato Mukherjee ◽  
Peter Petreczky
Keyword(s):  
Lattice Qcd ◽  
Quark Gluon Plasma ◽  
Gluon Plasma

scholarly journals What happens to the $ \Upsilon $ and η b in the quark-gluon plasma? Bottomonium spectral functions from lattice QCD

2011 ◽  
Vol 2011 (11) ◽  
Author(s):  
G. Aarts ◽  
C. Allton ◽  
S. Kim ◽  
M. P. Lombardo ◽  
M. B. Oktay ◽  
...  
Keyword(s):  
Lattice Qcd ◽  
Quark Gluon Plasma ◽  
Gluon Plasma ◽  
Spectral Functions

scholarly journals Deep inelastic scattering on the quark-gluon plasma

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Marco Cè ◽  
Tim Harris ◽  
Harvey B. Meyer ◽  
Arianna Toniato
Keyword(s):  
Inelastic Scattering ◽  
Lattice Qcd ◽  
Deep Inelastic Scattering ◽  
Quark Gluon Plasma ◽  
Parton Distribution Function ◽  
Parton Model ◽  
Gluon Plasma ◽  
Structure Functions ◽  
Longitudinal Momentum ◽  
Model Interpretation

Abstract We provide an interpretation of the structure functions of a thermal medium such as the quark-gluon plasma in terms of the scattering of an incoming electron on the medium via the exchange of a spacelike photon. We then focus on the deep-inelastic scattering (DIS) regime, and formulate the corresponding moment sum rules obeyed by the structure functions. Accordingly, these moments are given by the thermal expectation value of twist-two operators, which is computable from first principles in lattice QCD for the first few moments. We also show how lattice QCD calculations can be used to probe how large the photon virtuality needs to be in order for the Bjorken scaling of structure functions to set in. Finally, we provide the parton-model interpretation of the structure functions in the Bjorken limit and test its consistency. As in DIS on the proton, the kinematic variable x is proportional to the longitudinal momentum carried by the partons, however x ranges from zero to infinity. Choosing the parton momentum parametrization to be xT u where u is the fluid four-velocity and T its temperature in the rest frame, the parton distribution function for a plasma of non-interacting quarks is proportional to x log(1 + e−x/2).

scholarly journals Bottomonium from lattice QCD as a probe of the Quark-Gluon Plasma

2013 ◽  
Vol 432 ◽  
pp. 012014 ◽  
Author(s):  
G Aarts ◽  
C Allton ◽  
A Kelly ◽  
J-I Skullerud ◽  
S Kim ◽  
...  
Keyword(s):  
Lattice Qcd ◽  
Quark Gluon Plasma ◽  
Gluon Plasma

scholarly journals Electrical conductivity of the quark-gluon plasma: perspective from lattice QCD

2021 ◽  
Vol 57 (4) ◽  
Author(s):  
Gert Aarts ◽  
Aleksandr Nikolaev
Keyword(s):  
Electrical Conductivity ◽  
Lattice Qcd ◽  
Quark Gluon Plasma ◽  
Sum Rules ◽  
Gluon Plasma ◽  
Comprehensive Overview ◽  
Spectral Reconstruction ◽  
Open Questions ◽  
Reconstruction Methods ◽  
Tikhonov Regularisation

AbstractA discussion on the electrical conductivity of the quark-gluon plasma as determined by lattice QCD is given. After a reminder of basic definitions and expectations, various methods for spectral reconstruction are reviewed, including the use of Ansätze and sum rules, the Maximum Entropy and Backus-Gilbert methods, and Tikhonov regularisation. A comprehensive overview of lattice QCD results obtained so far is given, including a comparison of the different lattice formulations. A noticeable consistency for the conductivities obtained is seen, in spite of the differences in the lattice setups and spectral reconstruction methods. It is found that in the case of quenched QCD little temperature dependence of $$\sigma /T$$ σ / T is seen in the temperature range investigated, while for QCD with dynamical quarks a reduction of $$\sigma /T$$ σ / T in the vicinity of the thermal crossover is observed, compared to its value in the QGP. Several open questions are posed at the end.

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