论文标题
曲面时空和捆量量化中的pati-salam模型
Pati-Salam model in curved space-time and sheaf quantization
论文作者
论文摘要
本说明旨在在弯曲时空中提供有关u（k'）times u（k）u（k）pati-salam模型的自我符合和细节的解释，该模型源自（1+n） - 维平方根lorentz lorentz通过自动平行运输原理歧视。从类别理论，纤维束和捆捆的理论的角度来看，概念的基础得到了回顾。与（1+n） - 二维lorentz歧管相比，有额外的u（k'）乘以u（k） - 限制束和u（k）相关的束。初步讨论了平方根洛伦兹歧管上的保守电流。给出了从捆量量化到路径积分量化的详细证明。
This note aims to give a self-contain and detail explanation about U(k')times U(k) Pati-Salam model in curved space-time which derived from (1+n)-dimensional square root Lorentz manifold by self-parallel transportation principle. The concepts foundation of manifold from view point of category theory, fiber bundle and sheaf theories are reviewed. There are extra U(k')times U(k)-principal bundle and U(k)-associated bundle than (1+n)-dimensional Lorentz manifold. The conservative currents on square root Lorentz manifold are discussed preliminary. A detail proof of relation from sheaf quantization to path integral quantization is given.
