2007/12/01 by V. Gogokhia, Gogokhia, V., Vladimir V. Skokov +1
Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.0712.0075
openalex publication_date 2007/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In order to derive equation of state for the pure SU(3) Yang-Mills fields from first principles, it is proposed to generalize the effective potential approach for composite operators to non-zero temperatures. It is essentially non-perturbative by construction, since it assumes the summation of an infinite number of the corresponding contributions. There is no dependence on the coupling constant, only a dependence on the mass gap, which is responsible for the large-scale structure of the QCD ground state. The equation of state generalizes the Bag constant at non-zero temperatures, while its nontrivial Yang-Mills part has been approximated by the generalization of the free gluon propagator to non-zero temperatures, as a first necessary step. Even in this case we were able to show explicitly that the pressure may almost continuously change its regime at T^* = 266.5 MeV.All the other thermodynamical quantities such as energy density, entropy, etc. are to be understood to have drastic changes in their regimes in the close vicinity of T^*. All this is in qualitative and quantitative agreement with thermal lattice QCD results for the pure Yang-Mills fields. We have firmly established the behavior of all the thermodynamical quantities in the region of low temperatures, where thermal lattice QCD calculations suffer from big uncertainties.