One-dimensional anyons in relativistic field theory
Arata Yamamoto
TL;DR
This paper investigates relativistic anyon field theory in 1+1 dimensions, revealing its equivalence to boson or fermion fields with many-body interactions, and employs path integral and Monte Carlo methods.
Contribution
It introduces a novel analysis of 1+1D relativistic anyon fields, deriving their path integral representation and performing lattice Monte Carlo simulations.
Findings
Established the equivalence to boson/fermion fields with many-body interactions
Derived the path integral formulation for 1+1D anyon fields
Performed lattice Monte Carlo simulations to study the theory
Abstract
We study relativistic anyon field theory in 1+1 dimensions. While (2+1)-dimensional anyon fields are equivalent to boson or fermion fields coupled with the Chern-Simons gauge fields, (1+1)-dimensional anyon fields are equivalent to boson or fermion fields with many-body interaction. We derive the path integral representation and perform the lattice Monte Carlo simulation.
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