In quantum physics an anomaly or quantum anomaly is the failure of a symmetry of a theory's classical action to be a symmetry of any regularization of the full quantum theory.
In classical physics, a classical anomaly is the failure of a symmetry to be restored in the limit in which the symmetry-breaking parameter goes to zero. 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.
In quantum theory, the first anomaly discovered was the Adler–Bell–Jackiw anomaly, wherein the axial vector current is conserved as a classical symmetry of electrodynamics, but is broken by the quantized theory. The relationship of this anomaly to the Atiyah–Singer index theorem was one of the celebrated achievements of the theory. Technically, an anomalous symmetry in a quantum theory is a symmetry of the action, but not of the measure, and so not of the partition function as a whole.
I am working a problem from the Mohapatra textbook unification and supersymmetry and the question is to show that if any rep of a grp is pseudo real then it is automatically anomaly free.
There is not much in the chapter (2) on how to go about this.
All I know is that for a pseudo real...
Beginners question :
In GUTS what is the relevance of anomaly cancellation.
Is it in some sense an axiom - like we say we must have local invariance - or is it in just some mathematical requirement?
Thanks in advance.
The electromagnetic neutral pion decay is a three-point interaction: it decays into two virtual and charged Kaons or Protons, of which one then radiates a photon and then annihalates with the other to produce a second photon. (Obviously, a neutral particle cannot radiate photons directly)...
Base 10 Anomaly
An applied 49-year study into the origin of pi and the Base 10 number system resulted in the finding of a highly anomalous formula. Essentially, the finding derives from the perfect ratios (0:1:1:2:3:4) given by Pythagoras who we know studied and perhaps taught in the...
Is there something wrong with this reasoning:
First the question:
"A rocket A leave Earth at a speed v at a time where the clocks onboard and those on Earth read 0. After a time T (for the Earth's clock), a second rocket is lauched with a speed u > v. The second rocket catches up with the...
In his book The Ascent of Science, Brian L. Silver states "The order of increasing nuclear charge was, with one exception, identical with the order of increasing atomic weight."
What is that exception, and why?
http://arxiv.org/abs/astro-ph/0203466
We present new spectroscopic observations of an old case of anomalous redshift--NGC 7603 and its companion. The redshifts of the two galaxies which are apparently connected by a luminous filament are z=0.029 and z=0.057 respectively. We show that in the...
f(x) = (1 - x^2)^1/2
This all stems from me approximating pi by numerically evaluating the integral S f(x)dx from 0 to 1 and multiply the sum by 4.
Now...
Would you agree that f(x) has a derivative
f'(x) = (1 - x^2)^-1/2 * -2x
?
According to my textbook this is so. Now I can...