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        Quasipotential approach to the Bethe-Salpeter equation for positronium

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        Publication date
        2019
        Author
        Rajamov, M.
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        Summary
        We discuss why the usual perturbation theory in unsuited for the study of bound states in quantum field theory. The Dyson equation for the 4-point Green's function is then presented and the Bethe-Salpeter equation derived from it, by using Green's function factorization around bound state poles. Some historical facts are given for context, after which we discuss a particular approach for solving the Bethe-Salpeter equation known as the quasipotential approach. We discuss several possible choices of gauge and two-body propagator that can be used within this scheme and use one to calculate the leading order hyperfine splitting in positronium.
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        https://studenttheses.uu.nl/handle/20.500.12932/33486
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