标题： Skyrmions的非线性刚体量化 显示英文标题

标题： Nonlinear rigid-body quantization of Skyrmions

摘要： 我们考虑在最一般的四导数广义的Skyrme模型中Skyrmion的刚体量子化，该模型包含一个给pions赋予质量的势能，以及一类高阶Skyrme模型。 我们根据Pottinger和Rathske的结果对自旋和同位旋零模进行量子化。 尽管人们可能希望一个参数族的理论能在理论空间中的某一点提供更小的自旋能量贡献——这将对BPS型模型有益，但我们发现标准的Skyrme模型极限（具有两个时间导数）产生了最小的自旋能量贡献。 我们推测这种自旋能量的调整是否在对Skyrmion的振动和轻质量模式进行量子化的更大图景中有用。 最后，我们建立了包含势能项的Pottinger-Rathske模型的拓扑能量界限，以及具有和不具有势能的高阶Skyrme模型的新界限。 显示英文摘要

摘要： We consider rigid-body quantization of the Skyrmion in the most general four-derivative generalization of the Skyrme model with a potential giving pions a mass, as well as in a class of higher-order Skyrme models. We quantize the spin and isospin zeromodes following the results of Pottinger and Rathske. Although one could hope that a one-parameter family of theories could provide a smaller spin contribution to the energy at some point in theory space -- which would be welcome for BPS-type models, we find that the standard Skyrme model limit, with two time derivatives, gives rise to the smallest spin contribution to the energy. We speculate whether this tuning of the spin energy could be useful in the larger picture of quantizing vibrational and light massive modes of the Skyrmions. Finally, we establish a topological energy bound for the Pottinger-Rathske model with potential terms as well as new bounds for higher-order Skyrme models, with and without a potential.