论文标题
板条袋和普遍性的晶格费米尼斯casimir效应
Lattice Fermionic Casimir effect in a Slab Bag and Universality
论文作者
论文摘要
我们应用了更具吸引力的MIT袋边界条件来研究Casimir对晶格的影响。采用Arxiv的形式主义：2005.10758来计算自由晶格费米子的Casimir能量，我们表明，天真，Wilson和Reperlap fermions的结果与预期的是，正如普遍性所预期的那样，与零晶格间隔限制相匹配。与ARXIV：2005.10758相反，幼稚费米子的结果迅速振荡，晶格大小，周期性（P）和抗周期性（AP）边界条件，未观察到晶格尺寸的振荡。此外，明显违反了Arxiv：2005.10758在ARXIV中的普遍性，通过应用合适的系列外推技术可以治愈，从而证明，Casimir的casimir能量与周期性/反膜片边界条件的幼稚福利能量与其他范围的fermion fers cys cass cons and Dirate Fermion cy and and and and and and and and and and and and and and and and and and and and and and and ins cons and and and ins and and in cons的范围均可获得。晶格间距。
We apply the physically more appealing MIT Bag boundary conditions to study the Casimir effect on the lattice. Employing the formalism of arXiv:2005.10758 to calculate the Casimir energy for free lattice fermions, we show that the results for the naive, Wilson and overlap fermions match the continuum expressions precisely in the zero lattice spacing limit, as expected from universality. In contrast to arXiv:2005.10758 where the result for the naive fermions rapidly oscillates with the lattice size for both, the periodic (P) and anti-periodic (AP) boundary conditions, no oscillations are observed with the lattice size. Furthermore, the apparent violation of the universality for naive fermion in arXiv:2005.10758 is shown to be cured by applying suitable series extrapolation techniques, thus demonstrating that the Casimir energy for the naive fermions with periodic/antiperiodic boundary conditions agrees with the results for other free lattice fermions, and can as well be used to obtain the results for the Dirac fermion in the zero limit of the lattice spacing.
