The Non-perturbative Analytical Equation of State for SU(3) Gluon Plasma

The following sections are included:

• Introduction

• The gluon pressure P_g(T)

• The full gluon plasma pressure

• Main thermodynamic quantities

• The Stefan – Boltzmann limit

• Analytical formulae for the gluon plasma thermodynamic quantities

• Double-counting in integer powers of α_s problem

• Numerical results and discussion

• The dynamical structure of SU(3) gluon plasma

• Conclusions

• Appendix: Analytical and numerical evaluation of the latent heat

• Appendix: The β-function for the confining effective charge at non-zero temperature

• Appendix: Least Mean Squares method and the definition of the average deviation

• Appendix: Restoration of the lattice pressure below 0.9T_c

• Problems