标题： 由贝里相位机制引起的动态规范场 显示英文标题

标题： Dynamical Gauge Field induced by the Berry Phase Mechanism

摘要： 在低能区域，例如低于GUT或普朗克能量的区域，局部规范对称性的某些部分可以是通过与部分紧致化空间的拓扑非平凡结构相关的全纯场描述的诱导对称性。 在六维空间通过Kaluza-Klein机制紧致化为四维闵可夫斯基空间$M_{4}$与一个亏格为$g$、$\Sigma_{g}$的二维黎曼曲面的乘积的情况下，我们证明，在紧致化质量尺度趋于无穷大的极限下，具有U(1)规范对称性的模型拉格朗日量会产生$M_{4}$中的动态规范场，其具有$g$个U(1)对称性的乘积，即U(1)$\times \cdots\times$U(1)。 这些场是由贝里相位机制产生的，而不是由Kaluza-Klein机制产生的。 所产生场的动力学自由度被证明来自于与$\Sigma_{g}$的环路相关的全息性，或者说是螺线管势。 对所产生场的动能项的产生机制进行了详细讨论。 显示英文摘要

摘要： Some part of the local gauge symmetries in the low energy region, say, lower than GUT or the Planck energy can be an induced symmetry describable with the holonomy fields associated with a topologically non-trivial structure of partially compactified space. In the case where a six dimensional space is compactified by the Kaluza-Klein mechanism into a product of the four dimensional Minkowski space $M_{4}$ and a two dimensional Riemann surface with the genus $g$, $\Sigma_{g}$, we show that, in a limit where the compactification mass scale is sent to infinity, a model lagrangian with a U(1) gauge symmetry produces the dynamical gauge fields in $M_{4}$ with a product of $g$ U(1)'s symmetry, i.e., U(1)$\times \cdots\times$U(1). These fields are induced by a Berry phase mechanism, not by the Kaluza-Klein. The dynamical degrees of freedom of the induced fields are shown to come from the holonomies, or the solenoid potentials, associated with the cycles of $\Sigma_{g}$. The production mechanism of kinetic energy terms for the induced fields are discussed in detail.