2
$\begingroup$

My question: Are there any perturbative anomaly captured by higher-loop but not by captured at the 1-loop Feynman graph (say, not enough)?

We are familiar with the text book example of a perturbative anomaly captured by 1-loop Feynman graph, such as the ABJ anomaly.

enter image description here

All anomalies in Green-Schwarz mechanism are also perturbative anomaly captured by 1-loop Feynman graphs. I also know global anomalies of Witten SU(2) and global gravitational anomalies not captured by perturbative Feynman graphs.

My question: Are there any perturbative anomaly captured by higher-loop but not by captured at the 1-loop Feynman graph (say, not enough)?

$\endgroup$
  • 1
    $\begingroup$ In a large class of theories, the Adler-Bardeen theorem, which states that if anomalies vanish at one loop, then they vanish to all orders, has been proved to hold. $\endgroup$ – MannyC Jun 28 at 5:49
  • $\begingroup$ possible dup.? When is an anomaly one-loop exact?. $\endgroup$ – AccidentalFourierTransform Jun 28 at 14:22
  • $\begingroup$ I am asking beyond 1-loop, thus it is not a duplicated question -- please do not limit the imagination. $\endgroup$ – annie heart Jun 28 at 16:30

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.