论文标题
关于可简化仪表理论的规格不变变形
On gauge-invariant deformation of reducible gauge theories
论文作者
论文摘要
从我们以前的论文[1]中提出的初始规格理论（用于封闭/开放量规代数）中提出的初始量规理论的构造量规变形理论的新方法扩展到还原量规代数的情况。仅根据初始量规动作的磁场，在产生抗宪法转换功能的帮助下，明确描述了变形过程。在封闭而简单的形式的生成函数的帮助下，描述了变形的量规不变的动作和变形的量规生成器。作为可简化量规系统的一个例子，我们考虑了自由的费米子p形场，或者用另一种词来考虑反对称张量旋转磁场。事实证明，费米子p形场的规格不变变形始终导致非本地变形理论，不包含封闭的局部部门。依此类推，基于两个费米子2形式场和一个真实的大规模标量字段的模型可以在变形动作的局部扇区中这些磁场之间的局部相互作用。
New method for construction of gauge-invariant deformed theory from an initial gauge theory proposed in our previous papers [1], [2] for closed/open gauge algebras is extended to the case of reducible gauge algebras. The deformation procedure is explicitly described with the help of generating functions of anticanonical transformations depending on fields of the initial gauge action only. The deformed gauge-invariant action and the deformed gauge generators are described with the help of the generating functions in a closed and simple form. As an example of reducible gauge systems we consider the free fermionic p-form fields or, in another words, the antisymmetric tensor-spinor fields. It is proved that gauge-invariant deformation of fermionic p-form fields leads always to non-local deformed theory which does not contain a closed local sector. In its turn the model based on two fermionic 2-form fields and a real massive scalar field admits local interactions between these fields in local sector of the deformed action.
