Does anyone have a good explanation for why the existence of a possible gauge anomaly is characterised by the fifth homotopy group of the gauge group being non-trivial
I know that such groups have to have a complex rep for the fermions to live in, are they related?
@ACuriousMind with strong nuclear force i guess you can at least make the argument that, without it, nukes wouldn't be possible (though we hardly understood it when we made them). but what grand human transformation would you ascribe to the weak nuclear force?
In particle physics, quantum electrodynamics (QED) is the relativistic quantum field theory of electrodynamics. In essence, it describes how light and matter interact and is the first theory where full agreement between quantum mechanics and special relativity is achieved. QED mathematically describes all phenomena involving electrically charged particles interacting by means of exchange of photons and represents the quantum counterpart of classical electromagnetism giving a complete account of matter and light interaction.
In technical terms, QED can be described as a perturbation theory of the...
between a universe where number theory is lovely but irrelevant, and a universe where the NSA has a material interest in what progress is made on the Riemann hypothesis
If the process of constructing an "extended $\mathcal N$-supersymmetry algebra" involves giving the supercharge an additional index that runs to $\mathcal N$, does this mean that the spinor index on it is always two component?
So the supercharge for the $\mathcal N=4$ supersymmetry algebra for example is sort of a four-component vector with each component being a two component spinor
@fqq I'm pretty sure we had only the Fermi theory of $\beta$-decay when we built nuclear reactions - the modern understanding of the weak interaction as the result of the spontaneously broken electroweak theory hails from the 60s (Glashow model, Goldstone with spontaneous symmetry breaking, Glashow, Weinberg & Salam w/ electroweak theory).
The first proposal of W/Z bosons as force carriers seems to be from around 1949 according to this, so no, we really built nuclear bombs and reactors without really understanding what we were doing.
@Charlie don't think of it as "the supercharge" - you're just introducing $\mathcal{N}$ supercharges and numbering them
Let's mix all pseudoscience, homeopathy, alchemy, astrology, NLP and everything and make a new theory of everything pseudoscience version, then we'll publish and sell our generalization
@Slereah I think Meitner and Frisch had correctly identified the fission process and estimated the energy simply using a classical model using charge and radius.
I am looking to study Berry phase-like phenomena in a gapped 4-band material model. In particular, I want to numerically and analytically calculate the Abelian Berry curvature integral of each band over some region of k-space. It should be easy to calculate the Chern number of this system.
Howeve...