Perturbative Analysis of Nonabelian Aharonov-Bohm Scattering

Abstract

We perform a perturbative analysis of the nonabelian Aharonov-Bohm problem to one loop in a field theoretic framework, and show the necessity of contact interactions for renormalizability of perturbation theory. Moreover at critical values of the contact interaction strength the theory is finite and preserves classical conformal invariance.

12 pages in LaTeX, uses epsf.sty, 5 uuencoded Postscript figures sent separately. MIT-CTP-2283

References in corpus (7)

• Aharonov-Bohm Scattering, Contact Interactions and Scale Invariance
• Non-abelian vortices and non-abelian statistics
• Non-Abelian Chern-Simons Particles and their Quantization
• Chern-Simons Solitons, Toda Theories and the Chiral Model
• Differential Regularization of a Non-relativistic Anyon Model
• Non-Abelian Chern-Simons Quantum Mechanics and Non-Abelian Aharonov-Bohm Effect
• Schrödinger Fields on the Plane with non-Abelian Chern-Simons Interactions

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• Noncommutative Correction to the Aharonov-Bohm Scattering: a Field Theory Approach
• Conformal Dimensions from Topologically Massive Quantum Field Theory
• Quantum Description of Anyons: Role of Contact Terms
• Crossing Symmetry in Matter Chern-Simons Theories at finite $N$ and $k$
• Dirac Quantization of the Chern-Simons Field Theory in the Coulomb Gauge
• Perturbative Expansion in the Galilean Invariant Spin One-Half Chern-Simons Field Theory
• Non-Abelian Chern-Simons Particles in an External Magnetic Field
• Consistency of the Born Approximation for the spin-1/2 Aharonov-Bohm Scattering
• Moduli Space Dynamics of a First-Order Vortex System
• The Conformal Spectrum of Non-Abelian Anyons
• Second Virial Coefficient of Anyons without Hard Core
• On the Nonabelian Aharonov Bohm Scattering of Spinless Particles
• Spontaneous Symmetry Breaking in the Non-Abelian Anyon Fluid
• Non-trivial Behaviour of the Scattering Amplitude of Contact-interacting Anyons
• Three-dimensional noncommutative Yukawa theory: Induced effective action and propagating modes
• Non-Abelian Aharonov-Bohm Scattering of Spin 1/2 Particles
• Exact 4-point Scattering Amplitude of the Superconformal Schrodinger Chern-Simons Theory