DifFerential regularization of a nonrelativistic anyon model

FREEDMAN DANIEL; GUSTAVO S LOZANO; RIUS NURIA

PHYSICAL REVIEW D

AMER PHYSICAL SOC

Lugar: New York; Año: 1994 vol. d p. 1054 - 1066

1550-7998

Differential regularization is applied to a field theory of a nonrelativistic charged boson field P with A,(P P) self-interaction and coupling to a statistics-changing U(1) Chem-Simons gauge field. Renormalized configuration-space amplitudes for all diagrams contributing to the 4) P PP 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 P function is investigated. If the renormalization scheme is fixed to agree with a previous one-loop calculation, the twoand three-loop contributions to P(k,, e) vanish, and P(A, , e) itself vanishes when the "self-dual" condition relating k to the gauge coupling e is imposed.