Abstract
Reliably computing the free energy in a gauge theory like QCD is a challenging and resource-demanding endeavor. As an alternative, we explore here the possibility to obtain the associated thermodynamic anomaly by exploiting its relation to the Tan contact. Optimally, this would reduce the determination of the free energy to a high-precision calculation of two-point correlators. We study this possibility using the lattice and functional methods and compare them to the expected behavior for the SU(2) Yang-Mills case.
Highlights
Thermodynamic observables including, e.g., density correlations are among the most prominent observables that provide information about the phase structure of heavy-ion collisions
We explore the possibility to obtain the associated thermodynamic anomaly from two-point functions based on a conjectured relation
Their computations rely on access to the bulk thermodynamic information of the system. This information is encoded in the free energy, whose determination at finite temperature and density is of prime interest
Summary
Thermodynamic observables including, e.g., density correlations are among the most prominent observables that provide information about the phase structure of heavy-ion collisions. Their computations rely on access to the bulk thermodynamic information of the system. This information is encoded in the free energy, whose determination at finite temperature and density is of prime interest. While the part of correlations and thermodynamics that comes from the matter fluctuations does not pose problems in functional approaches, the access to the thermodynamics of gauge fluctuations poses a formidable challenge beyond perturbation theory.
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