BOSONIZATION OF QED(3) WITH AN INDUCED CHERN-SIMONS TERM

Citation
A. Kovner et Ps. Kurzepa, BOSONIZATION OF QED(3) WITH AN INDUCED CHERN-SIMONS TERM, Physics letters. Section B, 328(3-4), 1994, pp. 506-512
Citations number
12
Categorie Soggetti
Physics
Journal title
ISSN journal
03702693
Volume
328
Issue
3-4
Year of publication
1994
Pages
506 - 512
Database
ISI
SICI code
0370-2693(1994)328:3-4<506:BOQWAI>2.0.ZU;2-V
Abstract
We extend the bosonization of (2 + 1)-dimensional QED with one fermion ic flavor performed previously to the case of QED with an induced Chem -Simons term. The coefficient of this term is quantized: e2n/8pi, n is -an-element-of Z. The fermion operators are constructed in terms of th e 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 mo tion. The algebra of bilinears exhibits nontrivial operatorial mixing with lower dimensional operators, which is absent for n = 0.