论文标题

在洛伦兹侵略场景中相互作用的量子气的热方面

Thermal aspects of interacting quantum gases in Lorentz-violating scenarios

论文作者

Filho, A. A. Araújo, Reis, J. A. A. S.

论文摘要

在这项工作中,我们研究了考虑玻色子和费米亚部门的洛伦兹侵略场景中量子气的相互作用。在后一种情况下,我们研究了标量,矢量,伪驱动器和张量操作员的系统的后果。此外,我们研究了$ \ left(\ hat {k} _ {a} \ right) ^{κ} $和$ \ left(\ hat {k} _ {c} _ {c} \ right) ^{κξ} $操作员的含义。为此,我们考虑了寻求所谓的分区函数的大规范整体,这足以分析利益的计算,即平均粒子数,熵,平均总能量和压力。此外,在低温方向上,这种数量会收敛,直到达到相似的行为与高温方案中显示的相对鲜明对比,从而带来了其影响的分化。另外,即使存在洛伦兹违规,粒子,熵和能量也具有广泛的特征。最后,对于Peseudovector和Tensor操作员,由于自旋退化的破裂过程,我们注意到一个显着的特征:与自旋旋转相比,系统的旋转粒子具有更大的能量和粒子数。

In this work, we study the interaction of quantum gases in Lorentz-violating scenarios considering both boson and fermion sectors. In the latter case, we investigate the consequences of a system governed by scalar, vector, pseudovector and tensor operators. Besides, we examine the implications of $\left( \hat{k}_{a}\right) ^{κ}$ and $\left( \hat{k}_{c}\right) ^{κξ}$ operators for the boson case as well. For doing so, we regard the grand canonical ensemble seeking the so-called partition function, which suffices to provide analytically the calculations of interest, i.e., mean particle number, entropy, mean total energy and pressure. Furthermore, in low temperature regime, such quantities converge until reaching a similar behavior being in contrast with what is shown in high temperature regime, which brings out the differentiation of their effects. In addition, particle number, entropy and energy exhibit an extensive characteristic even in the presence of Lorentz violation. Finally, for peseudovector and tensor operators, we notice a remarkable feature due to the breaking process of spin degeneracy: the system turns out to have greater energy and particle number for the spin-down particles in comparison with spin-up ones.

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