Perturbative Renormalizations of Anyon Quantum Mechanics

Abstract

In bosonic end perturbative calculations for quantum mechanical anyon systems a regularization and renormalization procedure, analogous to those used in field theory, is necessary. I examine the reliability and the physical interpretation of the most commonly used bosonic end regularization procedures. I then use the regularization procedure with the most transparent physical interpretation to derive some bosonic end perturbation theory results on anyon spectra, including a 3-anyon ground state energy.

19 pages, Plain LaTex, MIT-CTP-2321

References in corpus (8)

• Aharonov-Bohm Scattering, Contact Interactions and Scale Invariance
• Perturbative Renormalization in Quantum Mechanics
• On $\delta$ perturbative interactions in the Aharonov-Bohm and Anyon Models
• Perturbative Bosonic End Anyon Spectra and Contact Interactions
• Differential Regularization of a Non-relativistic Anyon Model
• Pressure in Chern-Simons Field Theory to Three-Loop Order
• Parity violation, anyon scattering and the mean field approximation
• Comment on Partition Function of Anyon Gas

Cited by in corpus (13)

• Self-Dual Chern-Simons Theories
• Renormalization in Nonrelativistic Quantum Mechanics
• Relativistic Corrections to the Aharonov-Bohm Scattering
• Renormalized Contact Potential in Two Dimensions
• Finite-size anyons and perturbation theory
• Non-Abelian Chern-Simons Particles in an External Magnetic Field
• Renormalized Path Integral in Quantum Mechanics
• Second Virial Coefficient of Anyons without Hard Core
• Spontaneous Symmetry Breaking in the Non-Abelian Anyon Fluid
• Dimensional versus cut-off renormalization and the nucleon-nucleon interaction
• T duality for boundary-non-critical strings
• Anyons beyond the plane
• Relativistic scalar Aharonov-Bohm scattering