Differential Regularization of a Non-relativistic Anyon Model
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Differential Regularization of a Non-relativistic Anyon Model

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Differential Regularization of a Non-relativistic Anyon Model

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Freedman, Daniel Z.; Lozano, Gustavo; Rius Dionis, Nuria Perfil
Aquest document és un/a article, creat/da en: 1994
Differential regularization is applied to a field theory of a nonrelativistic 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 four-point function, which is the only primitively divergent Green's function, are obtained up to three-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 one-loop calculation, the two- and three-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.

    Freedman, Daniel Z. Lozano, Gustavo Rius Dionis, Nuria 1994 Differential Regularization of a Non-relativistic Anyon Model Physical Review D 49 2 1054 1066
http://dx.doi.org/10.1103/PhysRevD.49.1054
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