Dynamical mass generation of a twocomponent fermion in threedimensional MaxwellChernSimons QED: The lowest ladder approximation
Abstract
Dynamical mass generation of a twocomponent fermion in QED_{3} with a ChernSimons term is investigated by solving the SchwingerDyson equation formulated in the lowest ladder approximation. The dependence of the dynamical fermion mass on a gaugefixing parameter, a gauge coupling constant, and a topological mass is examined by approximated analytical and also numerical methods. The inclusion of the ChernSimons term makes it impossible to choose a peculiar gauge in which a wave function renormalization is absent. The numerical evaluation shows that the wave function renormalization is fairly close to 1 in the Landau gauge. It means that this gauge is still a specific gauge where the WardTakahashi identity is satisfied approximately. We also find that the dynamical mass is almost constant if the topological mass is larger than the coupling constant, while it decreases when the topological mass is comparable to or smaller than the coupling constant and tends to the value in QED_{3} without the ChernSimons term.
 Publication:

Physical Review D
 Pub Date:
 November 1999
 DOI:
 10.1103/PhysRevD.60.105020
 arXiv:
 arXiv:hepth/9901049
 Bibcode:
 1999PhRvD..60j5020M
 Keywords:

 11.30.Qc;
 11.10.Kk;
 11.15.Tk;
 11.30.Er;
 Spontaneous and radiative symmetry breaking;
 Field theories in dimensions other than four;
 Other nonperturbative techniques;
 Charge conjugation parity time reversal and other discrete symmetries;
 High Energy Physics  Theory
 EPrint:
 22 pages, 9 figures, Version to appear in Phys. Rev. D