作为算子值分布的QED费米场与反常
QED Fermi-Fields as Operator Valued Distributions and Anomalies
摘要：
作为算子值分布（OPVD）的治疗领域回顾与因果关系的重要性的Epstein和Glaser的工作后的重点。规范不变量理论要求在OPVD上扩展通常的平移操作，从而得到广义的$QED$公式。在D=2时，Schwinger模型的可解性完全保持。在D=4的仿紧性性质的欧几里德流形允许使用测试功能，这是分解的单位，从而提供了一个自然的理由和扩展的非微扰热核方法（Fujikawa）的阿贝尔异常。在闵可夫斯基流形上，因果关系在恢复规范不变性（以及$QED_{2}$的质量生成）中的具体作用以简单的方式举例说明。
英文摘要：
The treatment of fields as operator valued distributions (OPVD) is recalled with the emphasis on the importance of causality following the work of Epstein and Glaser. Gauge invariant theories demand the extension of the usual translation operation on OPVD, thereby leading to a generalized $QED$ formulation. At D=2 the solvability of the Schwinger model is totally preserved. At D=4 the paracompactness property of the Euclidean manifold permits using test functions which are decomposition of unity and thereby provides a natural justification and extension of the non perturbative heat kernel method (Fujikawa) for abelian anomalies. On the Minkowski manifold the specific role of causality in the restauration of gauge invariance (and mass generation for $QED_{2}$) is examplified in a simple way.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
