Example of q-deformed Field Theory
V.Bardek, M.Doresic, S.Meljanac
TL;DR
This paper introduces a q-deformed field theory based on non-relativistic Chern-Simons theory with anyonic fields, analyzing the interpolating algebra between bosons and fermions and suggesting a generalization to arbitrary dimensions.
Contribution
It presents a novel q-deformed algebra framework for anyonic fields and explores its potential extension to higher-dimensional spaces.
Findings
Q-deformed algebra interpolates between bosonic and fermionic statistics
Analysis of algebra in both position and momentum spaces
Proposed generalization to arbitrary dimensions
Abstract
The non-relativistic Chern-Simons theory with the single-valued anyonic field is proposed as an example of q-deformed field theory. The corresponding q-deformed algebra interpolating between bosons and fermions,both in position and momentum spaces, is analyzed.A possible generalization to a space with an arbitrary dimension is suggested.
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