标题： 带洛伦兹对称性的卡鲁扎-克莱因卡西米尔能量的泡利-维兰斯正则化 显示英文标题

标题： Pauli-Villars regularization of Kaluza-Klein Casimir energy with Lorentz symmetry

摘要： Pauli-Villars 规范化方法适用于讨论低能可观测量的紫外(UV)灵敏性，因为它模拟了高能新粒子贡献如何抵消有效场论中轻粒子带来的大量子修正的方式。 我们在这种规范化方案下讨论额外维模型中的卡西米尔能量密度和压力的紫外灵敏性，并阐明保持真空态洛伦兹对称性的调节场的条件。 这些条件中的一些在自发破缺的超对称模型中会自动满足，但超对称不足以确保洛伦兹对称性。 我们展示了必要的调节场可以作为整体场引入。 我们还评估了带有这些调节场的卡西米尔能量密度，并将其与解析规范化得到的结果进行了偏差分析。 显示英文摘要

摘要： The Pauli-Villars regularization is appropriate to discuss the UV sensitivity of low-energy observables because it mimics how the contributions of new particles at high energies cancel large quantum corrections from the light particles in the effective field theory. We discuss the UV sensitivity of the Casimir energy density and pressure in an extra-dimensional model in this regularization scheme, and clarify the condition on the regulator fields to preserve the Lorentz symmetry of the vacuum state. Some of the conditions are automatically satisfied in spontaneously-broken supersymmetric models, but supersymmetry is not enough to ensure the Lorentz symmetry. We show that the necessary regulators can be introduced as bulk fields. We also evaluate the Casimir energy density with such regulators, and its deviation from the result obtained in the analytic regularization.