论文标题
弯曲时空中的非最小非亚伯量子矢量场
Non-minimal non-Abelian quantum vector fields in curved spacetime
论文作者
论文摘要
研究了弯曲时空中非微小载体场与阿贝尔或非阿贝尔仪表自由度的量子有效作用。 Proca或Yang-Mills字段与在坐标和仪表空间中作用的局部质量术语耦合。通过引入非亚洲版本的Stueckelberg领域,避免了由于尺度不变性而引起的病理。发现由质量项引起的规格不变性的破坏仅影响有效作用的树级部分。有效作用的紫外线与一个循环的分歧部分是使用协方差符号和尺寸正则化的方法获得的。公式对任何时空维度有效,并为二维情况显示明确的结果。正如单个矢量场已经发生的那样,紫外线差异是局部的,但不是多项式类型。
The quantum effective action of non-minimal vector fields with Abelian or non-Abelian gauge degrees of freedom in curved spacetime is studied. The Proca or Yang-Mills fields are coupled to a local mass-like term acting in both coordinate and gauge spaces. Pathologies due to gauge invariance in the ultraviolet are avoided through the introduction of a non-Abelian version of the Stueckelberg field. It is found that the breaking of gauge invariance induced by the mass term affects only the tree level part of the effective action. The ultraviolet divergent part of the effective action to one loop is obtained using the method of covariant symbols and dimensional regularization. Formulas are given valid for any spacetime dimension and explicit results are shown for the two-dimensional case. As already happened for a single vector field, the ultraviolet divergences are local but not of polynomial type.