Renormalization Group Study of Chern-Simons Field Coupled to Scalar Matter in a Modified BPHZ Subtraction Scheme

Abstract

We apply a soft version of the BPHZ subtraction scheme to the computation of two-loop corrections from an Abelian Chern-Simons field coupled to (massive) scalar matter with a $\lambda ({\Phi }^{†}\Phi {)}^2$ and $\nu ({\Phi }^{†}\Phi {)}^3$ self-interactions. The two-loop renormalization group functions are calculated. We compare our results with those in the literature.

15 pages, 7 figures, revtex. To appear in Phys. Rev. D

References in corpus (6)

• Maxwell-Chern-Simons Scalar Electrodynamics at Two Loop
• Inconsistency of Naive Dimensional Regularizations and Quantum Correction to Non-Abelian Chern-Simons-Matter Theory Revisited
• A Renormalization Group Study of the $({\varphi }^{\ast }\varphi {)}^3$ Model coupled to a Chern-Simons Field
• The Perturbative Gross Neveu Model Coupled to a Chern-Simons Field: A Renormalization Group Study
• Four Fermion Field Theories and the Chern-Simons Field: A Renormalization Group Study
• Regularization Ambiguity Problem for the Chern-Simons Shift

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• Topological Constraints at the Theta Point: Closed Loops at Two Loops
• Quantum equivalence between the self-dual and the Maxwell-Chern-Simons models nonlinearly coupled to U(1) scalar fields
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