Calculation of One-Loop Vertex Corrections in Quantum Field Theory

Date

2019-05

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Abstract

The greatest conceptual advancements of theoretical physics in the early 1900s were the development of quantum mechanics and special relativity. Special relativity tells us that measurements are relative, that they depend on the relative motion of the observers. For instance, an observer that is traveling very quickly (a significant fraction of the speed of light) will experience time more slowly than an observer at rest. Quantum mechanics tells us that fundamental particles do not behave exactly or deterministically; they exhibit wavelike behavior such as self interference under the double slit experiment. Despite how well each of these theories has been confirmed in their appropriate contexts, their mathematical frameworks are incompatible without some serious modifications. The theory developed to merge these two is quantum field theory. This combined theory, though significantly more complex, allows for predictions of much more fundamental phenomena such as the cross section of scattering processes in the relativistic limit and the calculation of the magnetic moment of the electron.

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Keywords

one-loop vertex correction, QFT

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