无序 $O(2)$ 对称模型中的临界卡西米尔效应
Critical Casimir effect in a disordered $O(2)$-symmetric model
AI总结：
针对含淬火无序的连续对称 Landau–Ginzburg 模型，论文用分布 zeta 函数分析临界卡西米尔效应，证明强无序下 Goldstone 模可产生吸引或排斥贡献。
摘要：
临界卡西米尔效应出现在序参量的临界涨落与经典边界相互作用时。我们在存在淬火无序、具有连续对称性的 Landau–Ginzburg 模型设定下研究这一效应。淬火自由能被写为模型配分函数各阶矩的渐近级数。我们的主要结果是：在强无序存在时，系统的 Goldstone 模会贡献吸引力或排斥力。该结果是利用分布 zeta 函数方法得到的，且没有在配分函数各阶矩的函数空间中依赖任何特定 ansatz。
英文摘要：
Critical Casimir effect appears when critical fluctuations of an order parameter interact with classical boundaries. We investigate this effect in the setting of a Landau-Ginzburg model with continuous symmetry in the presence of quenched disorder. The quenched free energy is written as an asymptotic series of moments of the models partition function. Our main result is that, in the presence of a strong disorder, Goldstone modes of the system contribute either with an attractive or with a repulsive force. This result was obtained using the distributional zeta-function method without relying on any particular ansatz in the functional space of the moments of the partition function.
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。
