Solving the Impossible in Quantum Field Theory
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Feynman’s Infinite Quantum Paths
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The equations of quantum field theory allow us to calculate the behaviour of subatomic particles by expressing them as vibrations in quantum fields. But even the most elegant and complete formulations of quantum physics – like the Dirac equation or Feynman’s path integral - become impossibly complicated when we try to use them on anything but the most simple systems. But physicists tend to interpret “that’s impossible” as “I dare you to try!” And try they did. First they expressed these impossible equations in approximate but solvable forms. Then they tackled the pesky infinities that kept appearing in these new, approximate equations. Finally, the entire mess was ordered into a system that mere humans could deal using the famous Feynman diagrams.
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