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Deconfinement and Gluon Plasma Dynamics in Improved Holographic QCD (0804.0899v3)

Published 7 Apr 2008 in hep-th

Abstract: The finite temperature physics of the pure glue sector in the improved holographic QCD model of arXiv:0707.1324 and arXiv:0707.1349 is addressed. The thermodynamics of 5D dilaton gravity duals to confining gauge theories is analyzed. We show that they exhibit a first order Hawking-Page type phase transition. In the explicit background of arXiv:0707.1349, we find T_c = 235 MeV. The temperature dependence of various thermodynamic quantities such as the pressure, entropy and speed of sound is calculated. The results show a good agreement with the corresponding lattice data.

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Summary

  • The paper demonstrates a first-order Hawking-Page phase transition with a critical temperature near 235 MeV in a holographic QCD model.
  • It employs a five-dimensional dilaton gravity approach to capture both asymptotic freedom and confinement, achieving thermodynamic results that match lattice QCD data.
  • The study highlights discrepancies in latent heat predictions, indicating the need for further refinements in the holographic potential for improved QCD modeling.

Deconfinement and Gluon Plasma Dynamics in Improved Holographic QCD

The research presented in the paper "Deconfinement and Gluon Plasma Dynamics in Improved Holographic QCD" explores the finite temperature behavior of the pure gluon sector within an improved holographic QCD model, leveraging the framework of five-dimensional dilaton gravity duals. This paper aims to bridge the gap between theoretical predictions and lattice QCD results, particularly by examining the transition characteristics and thermodynamic properties of the quark-gluon plasma (QGP) phase of QCD.

The paper builds upon the AdS/QCD approach, which draws from the AdS/CFT correspondence, extending it for applications to confining gauge theories analogous to QCD. This improved holographic QCD model offers a phenomenological framework to approximate both the ultraviolet properties of asymptotic freedom and the infrared confining behavior by means of a potential calibrated to align with known QCD dynamics. The authors have constructed this model as a five-dimensional theory including a dilaton field that governs the running coupling of the gauge theory, analogous to the 't Hooft coupling in QCD.

Key results of the paper include the demonstration of a first-order Hawking-Page type phase transition within the theory. This transition is fundamentally related to the deconfinement transition expected in large-NcN_c pure Yang-Mills theories. The paper calculates the critical temperature TcT_c of this transition to be approximately 235 MeV, which aligns closely with lattice QCD predictions, given the model parameters fixed from glueball mass spectra.

The thermodynamic quantities, including pressure, entropy, and speed of sound, derived from the model, show favorable agreement with lattice QCD computations, enhancing the perceived credibility and utility of this holographic approach for finite-temperature QCD investigations. Notably, the model predicts a minimum temperature TminT_{min} for the existence of black hole solutions, complementing the theoretical expectations of phase structure at high temperatures.

The paper also highlights certain limitations and areas for potential improvement. For instance, the latent heat LhL_h derived from the model differs from lattice results, suggesting a slower convergence to the free gas limit than observed in lattice QCD. This highlights the fact that although the overall trends match expectations, further refinements, especially in the potential form used in the holographic setup, could provide better quantitative agreements.

Implications of this research are twofold: practically, the model provides a robust framework to paper various thermodynamic phases and transitions in QCD-like theories, while theoretically, it contributes to the broadening understanding of holographic techniques and their application to non-supersymmetric confining gauge theories.

The future exploration of this model could focus on fine-tuning the potential to achieve even closer agreements with lattice QCD across a broader range of temperatures and incorporating matter fields to extend applications beyond the gluon plasma. Understanding the dynamic processes in QGP with improved precision can lead to advancements in theoretical physics, particularly in areas related to heavy-ion collision experiments and early-universe cosmology. As these directions are pursued, they might also spur innovative methods in the paper of strongly coupled gauge theories beyond QCD.