Particles in Loop Quantum Gravity Formalism: A Thermodynamical Description

In this work, the thermodynamical behavior of massive and massless particles is analyzed within loop quantum gravity formalism. A modified dispersion relation is investigated which suffices to derive all the results of interest in an analytical manner. Initially, the massive case is studied where, in essence, it is examined how the mass modifies the thermodynamical properties of the system. On the other hand, to the massless case, the thermodynamical system turns out to depend only on a specific thermal state quantity, the temperature. More so, the analysis of the spectral radiation, the equation of states, the mean energy, the entropy, and the heat capacity are provided as well for both cases. Finally, the thermodynamical properties of the particles under consideration depends on the Riemann zeta function xi(s)$\xi (s)$.