1993/06/22 by Daniel Z. Freedman, D. Z. Freedman, G. Lozano +2 · 1 citation
Mathematics · Physics and Astronomy · #Quantum and electron transport phenomena #Quantum many-body systems #Spectral Theory in Mathematical Physics #hep-th
paper · pdf · doi:10.1103/physrevd.49.1054
published as Phys.Rev.D49:1054-1066,1994 · 22 pages in ReVTEX (with a plaintext PostScript figure appended at end), MIT CTP #2216
arxiv created 1993/06/22 · openalex publication_date 1994/01/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Differential regularization is applied to a field theory of a nonrelativistic charged boson field \ensuremathφ with \ensuremathλ(\ensuremathφ*\ensuremathφ)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 \ensuremathφ*\ensuremathφ*\ensuremathφ\ensuremathφ 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 \ensuremathβ function is investigated. If the renormalization scheme is fixed to agree with a previous one-loop calculation, the two- and three-loop contributions to \ensuremathβ(\ensuremathλ,e) vanish, and \ensuremathβ(\ensuremathλ,e) itself vanishes when the "self-dual" condition relating \ensuremathλ to the gauge coupling e is imposed.