Recent content by springbottom
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Graduate Bubble nucleation and metastable vacuum
Just to show some pictures, you can imagine the ising model for example - spins taking values in $\{+1,-1\}$, with a small ('longitudinal', I suppose) field biasing it so that $\{-1\}$ is the true vacuum. Explicitly, the hamiltonian looks something like: $$H = -J\sum_{\langle i,j \rangle}...- springbottom
- Post #3
- Forum: High Energy, Nuclear, Particle Physics
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Graduate Does the Z boson pole show up in the photon propagator?
If I look at the photon propagator <A_mu (x) A^nu(0) > in momentum space, as I understand it I am to compute this by summing up all the self-energy diagrams of the photon, which look like: photon -> stuff -> photon In particular, since the photon shares the same quantum numbers as the Z, you...- springbottom
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- Analytic continuation Boson Photon Pole Propagator Z boson
- Replies: 5
- Forum: High Energy, Nuclear, Particle Physics
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Undergrad Why are discontinuous Lorentz transformations excluded from the Poincare group?
Specifically, the construction is via the exponential map (taking Lie Algebra ~ tangent space at identity and exponentiating to get elements in the Lie Group). It isn't necessary that this exponential map is surjective even in the connected case...- springbottom
- Post #25
- Forum: High Energy, Nuclear, Particle Physics
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Undergrad How Does Beta Decay Relate to the Role of W Bosons in Weak Nuclear Force?
Just to add some thoughts - this phenomena where the W bosons "only exist formally" and are never directly observed happens all the time; for instance you never observe the Higgs Boson either; only its decay products. But, by looking at the distribution of the observed decay products (e.g. one...- springbottom
- Post #5
- Forum: High Energy, Nuclear, Particle Physics
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Graduate Topological Data Analysis - Persistent Homology
I feel like people are making it out to be more complicated than it is: the whole idea behind persistent homology is that 1) high dimensional structured data (e.g. images) often lives on some sub manifolds in the total space; and these manifolds often have nontrivial topological data associated...- springbottom
- Post #8
- Forum: Topology and Analysis
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Undergrad Understanding Light Physics: Tips and Tricks for Beginners
i guess there is no way to make like say a car from really dense light huh or am I just being really dense hohonahh I am just like have very little knowledge with this kind of stuff and I was just thinking that if like THEORETICALLY if you made a car from light and you rode it, then if you...- springbottom
- Post #3
- Forum: Optics
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Undergrad Understanding Light Physics: Tips and Tricks for Beginners
-Im kinda bad with physics and just thought any help with understanding this is great So I just read on the internet a little bit about light, and as far as I have learnt, light is made of photons, and photons demonstrate qualities of both particles and waves. Whilst apparently they have no...- springbottom
- Thread
- Light Physics
- Replies: 3
- Forum: Optics