论文标题

循环量子重力形式主义中的粒子:热力学描述

Particles in Loop Quantum Gravity formalism: a thermodynamical description

论文作者

Filho, A. A. Araújo

论文摘要

在这项工作中,我们分析了循环量子重力形式主义中巨大和无质量颗粒的热力学行为。我们研究了一个修改后的分散关系,足以以\ textit {Analytical}方式得出我们所有感兴趣的结果。最初,我们研究了大规模的情况,从本质上讲,我们研究质量如何修饰系统的热力学特性。另一方面,对于无质量的情况,热力学系统仅依赖于特定的热状态数量,即温度。更重要的是,在两种情况下,还提供了光谱辐射,状态方程,平均能量,熵和热容量的分析。最后,我们正在考虑的颗粒的热力学特性取决于riemann zeta函数$ξ(s)$。

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 $ξ(s)$.

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