Anti-BRST in the Causal Approach

Universe

Dan-Radu Grigore¹ 

[1] Department of Theoretical Physics, Institute for Physics and Nuclear Engineering “Horia Hulubei”, P.O. Box MG 6, 077125 Bucharest-Măgurele, Romania;

关键词: perturbative quantum field theory;    causal approach;   

DOI  :  10.3390/universe7020026

来源: DOAJ

【 摘 要 】

It is known that the elimination of anomalies in all orders of perturbation theory is an open problem. The constraints given by usual invariance properties and the Wess–Zumino identities are not enough to eliminate the anomalies in the general case of a 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 perturbation theory, we also have anti-BRST invariance up to the same order. Probably, this result is true in all orders of 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.

【 授权许可】

Unknown