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arXiv · 2608.20526

Thermodynamically Consistent Merging of Multidimensional QCD Equations of State

Prachi Garella·Yumu Yang·Musa R. Khan·Tulio E. Restrepo·Joaquin Grefa·Johannes Jahan·Mauricio Hippert·Jorge Noronha·Claudia Ratti·Romulo Rougemont
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Abstract

We present a thermodynamically consistent framework for merging complementary models into a multidimensional QCD equation of state. An internal mixing variable is determined by minimizing a single grand potential at fixed temperature and baryon chemical potential, ensuring thermodynamic consistency and stability. Interactions between the components allow for a crossover, a critical endpoint, and a first-order transition. As a proof of principle, we merge a quantum van der Waals hadron-resonance-gas model with a holographic Einstein--Maxwell--Dilaton model. The resulting equation of state reproduces the appropriate description in each regime, agrees well with available lattice-QCD results, and is suitable for heavy-ion phenomenology over a broad range of temperature and baryon chemical potential.

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Prachi Garella, Yumu Yang, Musa R. Khan, Tulio E. Restrepo, Joaquin Grefa, Johannes Jahan, Mauricio Hippert, Jorge Noronha, Claudia Ratti, Romulo Rougemont. 2026-08-20. Thermodynamically Consistent Merging of Multidimensional QCD Equations of State. https://arxiv.org/abs/2608.20526

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