论文标题

因果方法中的反br

Anti-BRST in the Causal Approach

论文作者

Grigore, D. R.

论文摘要

众所周知,在扰动理论的所有顺序中消除异常是一个开放的问题。通常,通常不变属性和Wess-Zumino身份给出的约束不足以消除Yang-Mills理论的一般情况下的异常。因此,模型的任何新对称性都可以进一步限制异常,并成为问题的解决方案。 我们考虑因果方法中ojima的抗Br-Br-Br-Br-Br-Br-Br-Br-Br-Br-Br-Br-Br-Br-Br-Br-Br-Br-Br-Br-Brif转变,并研究是否获得了这种新的限制。不幸的是,结果是负面的:如果我们拥有扰动理论的二阶不变性,那么我们也具有最直至相同秩序的反英国不变性。在扰动理论的所有顺序中,这个结果都是正确的。 因此,反英国变革没有任何新的变化,我们必须找到其他思想来限制并最终消除普通杨米尔斯理论的异常。

It is known that the elimination of the anomalies in all orders of perturbation theory is an open problem. The constrains given by usual invariance properties and the Wess-Zumino identities are not enough to eliminate the anomalies in the general case of an Yang-Mills theory. So, any new symmetry of the model could restrict further the anomalies and be a solution of the problem. We consider the anti-BRST transform of Ojima in the causal approach and investigate if such new restrictions are obtained. Unfortunately, the result is negative: if we have BRST invariance up to the second order of the perturbation theory, we also have anti-BRST invariance up to the same order. Probably, this result is true in all orders of the perturbation theory. So, anti-BRST transform gives nothing new, and we have to find other ideas to restrict and eventually eliminate the anomalies for a general Yang-Mills theory.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源