The LHC Shows the Way workshop is about to end, and the slow live blog limps along with a presentation on the composite Higgs.
A model for having a light (~ 100 GeV ) scalar, is to have a composite Higgs instead of the alternative of either a true supersymmetric model or a light dilaton scalar.
As with such models in general, they violate unitarity if extrapolated to higher energies, so force a new energy scale, at, say, few TeV - like another particle there (cf old effective weak interaction theory).
Yes, if you work it out in detail, the effective coupling runsaway and you need to truncate the effective theory, so there has to be new stuff up there, if the LHC boson signal is a composite particle.
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One of the more advanced topics in topology that I'd like to get to is homology. Homology is a major topic that goes beyond just algebraic topology, and it's really very interesting.
There's another way of working with number-like things that have multiple dimensions in math, which is very different from the complex number family: vectors. Vectors are much more intuitive to most people than the the complex numbers, which are built using the problematic number i.
In the beginning there was light.
Sort of.
When energies were high enough, particles were effectively massless and the universe was a nice seething mess of particle/anti-particle creation and annihilation.
Can you, in fact, add ordered sets of unlike things?