In this work, we analyse the thermodynamical behavior of massive and massless
particles within Loop Quantum Gravity formalism. We investigate a modified
dispersion relation which suffices to derive all our results of interest in an
\textit{analytical} manner. Initially, we study the massive case where, in
essence, we examine how the mass modifies the thermodynamical properties of the
system. On the other hand, to the massless case, the thermodynamical system
turns out to rely 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 our particles under
consideration depends on the Riemann zeta function $\xi(s)$.
