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There seem to already been a lot of anomaly articles. This one, the descriptions of the individual anomalies, articles on index theorems and BRST techniques that calculate anomalies, articles on anomaly-cancellation mechanisms, etc. And some are conspicuously missing (an article on the Wess-Zumino consistency condition, the Konishi anomaly, the Freed-Witten anomaly, the U(1)_R anomaly, etc.) Maybe an anomaly category should be created? JarahE 21:36, 26 April 2006 (UTC)
Anomalous symmetry is simply not a symmetry of the quantum theory, so in what sense is it a UV or IR effect? Furthermore, in cases where such a meaning can be given, it seems odd to claim that this is an IR effect:
If no citation appears in reasonable time, I will delete the whole section, or replace it by the discussion I have just wrote, unless I get a reasonable answer for my doubts.
I have also omitted the "massless or nearly massless particle" part, since there is no such particle in the anomalies I am aware of in nature (scale-invariance anomaly of QCD, chiral anomaly - this causes eta to have a large mass, while the pion has a low mass because its corresponding symmetry is non-anomalous, baryon number anomaly etc.). It seems the author has been confused by the appearance of the goldstone boson in the case of a spontaniously broken symmetry. Dan Gluck 16:35, 2 May 2007 (UTC)
"note that all the anomaly cancellation mechanisms result in a spontaneous symmetry breaking of the symmetry whose anomaly is being cancelled." PhysPhD 18:26, 19 May 2007 (UTC)
This section mentions boson loops where I think fermion loops would be appropriate, as depicted in the gauge anomaly article. What do you think? Wferi ( talk) 18:43, 19 February 2008 (UTC)
Perhaps, the first known anomaly was the dissipative anomaly in turbulence: time-reversibility remains broken (and energy dissipation rate finite) at the limit of vanishing viscosity.
I don't think the stated condition suffices to conclude that the electron and proton charge cancel. For example, on p. 101 in The Standard Model: A Primer, they also use the cancellation of the diagram with three U(1) generators and the neutrality of the Yukawa terms. Valentinwust ( talk) 20:17, 14 April 2020 (UTC)
![]() | This article is rated Start-class on Wikipedia's
content assessment scale. It is of interest to the following WikiProjects: | ||||||||||
|
There seem to already been a lot of anomaly articles. This one, the descriptions of the individual anomalies, articles on index theorems and BRST techniques that calculate anomalies, articles on anomaly-cancellation mechanisms, etc. And some are conspicuously missing (an article on the Wess-Zumino consistency condition, the Konishi anomaly, the Freed-Witten anomaly, the U(1)_R anomaly, etc.) Maybe an anomaly category should be created? JarahE 21:36, 26 April 2006 (UTC)
Anomalous symmetry is simply not a symmetry of the quantum theory, so in what sense is it a UV or IR effect? Furthermore, in cases where such a meaning can be given, it seems odd to claim that this is an IR effect:
If no citation appears in reasonable time, I will delete the whole section, or replace it by the discussion I have just wrote, unless I get a reasonable answer for my doubts.
I have also omitted the "massless or nearly massless particle" part, since there is no such particle in the anomalies I am aware of in nature (scale-invariance anomaly of QCD, chiral anomaly - this causes eta to have a large mass, while the pion has a low mass because its corresponding symmetry is non-anomalous, baryon number anomaly etc.). It seems the author has been confused by the appearance of the goldstone boson in the case of a spontaniously broken symmetry. Dan Gluck 16:35, 2 May 2007 (UTC)
"note that all the anomaly cancellation mechanisms result in a spontaneous symmetry breaking of the symmetry whose anomaly is being cancelled." PhysPhD 18:26, 19 May 2007 (UTC)
This section mentions boson loops where I think fermion loops would be appropriate, as depicted in the gauge anomaly article. What do you think? Wferi ( talk) 18:43, 19 February 2008 (UTC)
Perhaps, the first known anomaly was the dissipative anomaly in turbulence: time-reversibility remains broken (and energy dissipation rate finite) at the limit of vanishing viscosity.
I don't think the stated condition suffices to conclude that the electron and proton charge cancel. For example, on p. 101 in The Standard Model: A Primer, they also use the cancellation of the diagram with three U(1) generators and the neutrality of the Yukawa terms. Valentinwust ( talk) 20:17, 14 April 2020 (UTC)