Timeline for Zumino's consistent and covariant anomalies - applied to quantum hall?
Current License: CC BY-SA 3.0
7 events
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| Dec 4, 2016 at 16:49 | comment | added | mike stone | I think that in the Abelian case the boundary term that usually arises when we functionally diffrentiate the bulk Chern Simons term is ${\rm tr}(A^2)$. This is zero as the 1-forms $A$ anticommute. Thus there is no Bardeen Polynomial and no distinction between consistent an covariant. Which AHE papers are you thinking of that make a distinction? | |
| Nov 18, 2016 at 9:13 | comment | added | Name YYY | Sorry for asking, but what is the notion of the covariant anomly in the abelian case? The consistent anomaly is indeeed gauge covariant, so I don't understand how people describe the anomalous Hall effect by adding the mystical Bardeen-Zumino polynomial, which we don't need for the abelian case (there are few articles, which operate the notions of consistent and covariant anomalies and say that by using the definition of the covariant anomaly we explain the AHE). | |
| Jun 26, 2015 at 16:11 | comment | added | mike stone | Yes. I think so. It's a nice book, but does not explain the physical distinction between consistent and covariant anomalies. I think that was first figured out in: S.G. Nachulich, "Axionic Strings: Covariant anomalies and bosonization of chiral zero modes" Nucl Phys.B296 837-867 (1988). | |
| Jun 19, 2015 at 14:35 | comment | added | wonderich | Thanks for the reply, +1, I will have a thought on this. Is your definition the same as the bertlmann's book "Anomalies in QFT?" | |
| Jun 18, 2015 at 13:37 | history | edited | mike stone | CC BY-SA 3.0 |
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| Jun 18, 2015 at 13:37 | history | edited | Qmechanic♦ | CC BY-SA 3.0 |
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| Jun 18, 2015 at 13:26 | history | answered | mike stone | CC BY-SA 3.0 |