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- W2079231937 abstract "Differential regularization is applied to a field theory of a non-relativistic charged boson field $phi$ with $lambda (phi {}^{*} phi)^2$ self-interaction and coupling to a statistics-changing $U(1)$ Chern-Simons gauge field. Renormalized configuration-space amplitudes for all diagrams contributing to the $phi {}^{*} phi {}^{*} phi phi$ 4-point function, which is the only primitively divergent Green's function, are obtained up to 3-loop order. The renormalization group equations are explicitly checked, and the scheme dependence of the $beta$-function is investigated. If the renormalization scheme is fixed to agree with a previous 1-loop calculation, the 2- and 3-loop contributions to $beta(lambda,e)$ vanish, and $beta(lambda,e)$ itself vanishes when the ``self-dual'' condition relating $lambda$ to the gauge coupling $e$ is imposed." @default.
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- W2079231937 date "1994-01-15" @default.
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- W2079231937 title "Differential regularization of a nonrelativistic anyon model" @default.
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- W2079231937 doi "https://doi.org/10.1103/physrevd.49.1054" @default.
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