arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1004.0281hep-th
收藏

渐近自由场论中的Bekenstein界

The Bekenstein Bound in Asymptotically Free Field Theory

E. Arias, N. F. Svaiter, G. Menezes

摘要:

对于空间上有界的自由场,贝肯斯坦界指出比熵满足不等式$\frac{S}{E} \leq 2 πR$,其中$R$代表系统外接的最小球体的半径。研究了欧氏$(λ\,ϕ^{\,4})_{d}$自相互作用标量场渐近自由侧比熵的Bekenstein界的有效性。我们认为系统的热平衡与水库的温度$β^{\,-1}$和定义在一个紧凑的空间区域没有边界。使用有效势,我们提出了一个详尽的研究模型的热力学。对于低温和高温,系统呈现冷凝物。我们还得到了系统的重整化平均能量$E$和熵$S$。有了这些量,我们证明了在哪些情况下比熵满足量子束缚。

英文摘要:

For spatially bounded free fields, the Bekenstein bound states that the specific entropy satisfies the inequality $\frac{S}{E} \leq 2 πR$, where $R$ stands for the radius of the smallest sphere that circumscribes the system. The validity of the Bekenstein bound on the specific entropy in the asymptotically free side of the Euclidean $(λ\,ϕ^{\,4})_{d}$ self-interacting scalar field theory is investigated. We consider the system in thermal equilibrium with a reservoir at temperature $β^{\,-1}$ and defined in a compact spatial region without boundaries. Using the effective potential, we presented an exhaustive study of the thermodynamic of the model. For low and high temperatures the system presents a condensate. We obtain also the renormalized mean energy $E$ and entropy $S$ for the system. With these quantities, we shown in which situations the specific entropy satisfies the quantum bound.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑