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Hot QCD equations of state and response functions for quark-gluon plasma

2008/01/08 by Vinod Chandra, Chandra, Vinod, Akhilesh Ranjan +3
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Nuclear Theory (nucl-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #nucl-th

paper · pdf · doi:10.48550/arxiv.0801.1286

11 pages, 10 figures, revtex4; 2 tables; several references added, Introduction revised; section.V revised; Fig.3 replaced

openalex publication_date 2008/01/08 · arxiv created 2008/07/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the response functions (chromo-electric susceptibilities) of quark-gluon plasma as a function of temperature in the presence of interactions. We consider two equations of state for hot QCD. The first one is fully perturbative, of O(g5) EOS and, and the second one which is O[g6ln(1/g)+δ], incorporates some non-perturbative effects. Following a recent work (Physical Review \bf C 76, 054909(2007)), the interaction effects contained in the EOS are encapsulated in terms of effective chemical potentials(μ) in the equilibrium distribution functions for the partons.By using them in another recent formulation of the response functions(\tt arXiv:0707.3697), we determine explicitly the chromo-electric susceptibilities for QCD plasma. We find that it shows large deviations from the ideal behavior. We further study the modification in the heavy quark potential due to the medium effects. In particular, we determine the temperature dependence of the screening lengths by fixing the effective coupling constant Q which appears in the transport equation by comparing the screening in the present formalism with exact lattice QCD results. Finally, we study the dissociation phenomena of heavy quarkonium states such as cc and bb, and determine the dissociation temperatures. Our results are in good agreement with recent lattice results.

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