Bosonization of $QED_3$ with an induced Chern - Simons term

Details Bosonization of $QED_3$ with an induced Chern - Simons term Bosonization of $QED_3$ with an induced Chern - Simons term

1993-07-01

arxiv.org/abs/hep-th/9307006v1

Phys. Lett. B328 (1994) 506-512

Physics

High Energy Physics

High Energy Physics - Theory

LA-UR-93-2406

Scientific paper

10.1016/0370-2693(94)91511-3

We extend the bosonization of $2+1$ - dimensional QED with one fermionic flavor performed previously to the case of QED with an induced Chern - Simons term. The coefficient of this term is quantized: $e^2n/8\pi$, $n\in {\bf Z}$. The fermion operators are constructed in terms of the bosonic fields $A_i$ and $E_i$. The construction is similar to that in the $n=0$ case. The resulting bosonic theory is Lorentz invariant in the continuum limit and has Maxwell's equations as its equations of motion. The algebra of bilinears exhibits nontrivial operatorial mixing with lower dimensional operators, which is absent for $n=0$.

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