标题： 保罗-维拉斯对卡拉比-丘流形卡西米尔能量的正则化与洛伦兹对称性 显示英文标题

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

摘要： 泡利-维拉尔斯正则化适用于讨论低能可观测量的紫外敏感性，因为它模拟了高能下新粒子的贡献如何在有效场论中抵消轻粒子的大量子修正。 我们在这种正则化方案中讨论了额外维度模型中卡西米尔能量密度和压强的紫外敏感性，并阐明了保持真空态洛伦兹对称性的调节场条件。 在自发破缺的超对称模型中，一些条件会自动满足，但超对称不足以保证洛伦兹对称性。 我们表明，必要的调节场可以作为体场引入。 我们还评估了引入这些调节场后的卡西米尔能量密度，以及它与解析正则化结果之间的偏差。 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.