Quantum Description of Anyons: Role of Contact Terms

Abstract

We make an all-order analysis to establish the precise correspondence between nonrelativistic Chern-Simons quantum field theory and an appropriate first-quantized description. Physical role of the field-theoretic contact term in the context of renormalized perturbation theory is clarifed through their connection to self-adjoint extension of the Hamiltonian in the first-quantized approach. Our analysis provides a firm theoretical foundation on quantum field theories of nonrelativistic anyons.

27 pages and 7 figures

References in corpus (12)

• Self-Dual Chern-Simons Theories
• Aharonov-Bohm Scattering, Contact Interactions and Scale Invariance
• Perturbative Renormalization in Quantum Mechanics
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• Schroedinger Self-adjoint Extension and Quantum Field Theory
• Perturbative Analysis of Nonabelian Aharonov-Bohm Scattering
• On $\delta$ perturbative interactions in the Aharonov-Bohm and Anyon Models
• Perturbative Bosonic End Anyon Spectra and Contact Interactions
• Multiple Chern-Simons Fields on a Torus
• Non-Abelian Chern-Simons Quantum Mechanics and Non-Abelian Aharonov-Bohm Effect
• Perturbation Theory and the Aharonov-Bohm Effect
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Cited by in corpus (12)

• Non-Relativistic M2-brane Gauge Theory and New Superconformal Algebra
• Poles in the $S$-Matrix of Relativistic Chern-Simons Matter theories from Quantum Mechanics
• Aspects of Non-Relativistic Quantum Field Theories
• A family of super Schrodinger invariant Chern-Simons matter systems
• Energy-pressure relation for low-dimensional gases
• Statistical Mechanics of an Ideal Gas of Non-Abelian Anyons
• Non-Abelian Chern-Simons Particles in an External Magnetic Field
• Galilean Supersymmetry in 2+1 Dimensions
• Second Virial Coefficient of Anyons without Hard Core
• Non-trivial Behaviour of the Scattering Amplitude of Contact-interacting Anyons
• Semiclassical Theory for Two-anyon System
• Exact 4-point Scattering Amplitude of the Superconformal Schrodinger Chern-Simons Theory