scholarly journals Transgression and twisted anomaly cancellation formulas on odd dimensional manifolds

2010 ◽  
Vol 60 (4) ◽  
pp. 611-622 ◽  
Author(s):  
Yong Wang
2012 ◽  
Vol 62 (5) ◽  
pp. 1038-1053 ◽  
Author(s):  
Fei Han ◽  
Kefeng Liu ◽  
Weiping Zhang

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Ferruccio Feruglio

Abstract The conditions for the absence of gauge anomalies in effective field theories (EFT) are rivisited. General results from the cohomology of the BRST operator do not prevent potential anomalies arising from the non-renormalizable sector, when the gauge group is not semi-simple, like in the Standard Model EFT (SMEFT). By considering a simple explicit model that mimics the SMEFT properties, we compute the anomaly in the regularized theory, including a complete set of dimension six operators. We show that the dependence of the anomaly on the non-renormalizable part can be removed by adding a local counterterm to the theory. As a result the condition for gauge anomaly cancellation is completely controlled by the charge assignment of the fermion sector, as in the renormalizable theory.


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