Two-dimensional Lorentz-violating Chern-Simons-like action
E. Passos, A. Yu. Petrov
TL;DR
This paper derives a two-dimensional Lorentz-violating Chern-Simons-like action through scalar and spinor field couplings, analyzing its properties at zero and finite temperatures using noncommutative fields.
Contribution
It introduces a novel method to generate Lorentz-breaking Chern-Simons-like actions in two dimensions via specific field couplings and temperature conditions.
Findings
Derived the Lorentz-violating action at zero and finite temperature
Analyzed the dispersion relations associated with the action
Demonstrated the use of noncommutative fields method
Abstract
We demonstrate generation of the two-dimensional Chern-Simons-like Lorentz-breaking action via an appropriate Lorentz-breaking coupling of scalar and spinor fields at zero as well as at the finite temperature and via the noncommutative fields method and study the dispersion relations corresponding to this action.
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