Ok, now do two loops 
The electron charge 𝑒 is 𝒏𝒐𝒕 constant
The electron has a so-called "running coupling"
The equation below relates the electron charge at an energy 𝑝₂ with its value at 𝑝₁
This tells us that the electron's charge becomes larger at high energies
#QFT #Physicspic.twitter.com/OD34Wjkx7c
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no thank you
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How are experiments designed to test this?
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scattering cross section
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Ho no, not this... $1000 question: how to interpret a running mass, knowing that an energy-dependent mass isn't really in sympathy with Lorentz invariance? (I am asking this to myself for real these days)
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the way i think of it is the vacuum becomes polarized resulting in an "effective" charge not unlike what happens in solid state systems with effective mass
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WHAT?
Help this poor geometric topologist (who likes physics, but only knows classical lagrangian/hamiltonian mech and baby quantum mechanics) understand I would have never even thought to ask IF it was constant! -
So this is a consequence of quantum field theory. I've got to finish some reading at the moment, but i'd be happy to talk about it in a bit. In the meantime check out "running couplings"
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Do you think the fractal like structure of feynman diagrams has a connection to the anomalous scaling of couplings?
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I have no idea but that sounds fun
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