Dynamical generation of fermion mass and magnetic field in three-dimensional QED with Chern-Simons term

Itoh, Taichi; Kato, Hiroshi

doi:10.1103/PhysRevLett.81.30

Dynamical generation of fermion mass and magnetic field in three-dimensional QED with Chern-Simons term

Taichi Itoh
(
- Nagoya U.
)
,
Hiroshi Kato
(
- Nagoya U.
)

Feb, 1998

9 pages

Published in:

Phys.Rev.Lett. 81 (1998) 30-33

e-Print:

hep-th/9802101 [hep-th]

DOI:

10.1103/PhysRevLett.81.30

Report number:

DPNU-97-53

View in:

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Abstract:

We study dynamical symmetry breaking in three-dimensional QED with a Chern-Simons (CS) term, considering the screening effect of

N

flavor fermions. We find a new phase of the vacuum, in which both the fermion mass and a magnetic field are dynamically generated, when the coefficient of the CS term

\kappa

equals

N e^2/4 \pi

. The resultant vacuum becomes the finite-density state half-filled by fermions. For

\kappa=N e^2/2 \pi

, we find the fermion remains massless and only the magnetic field is induced. For

\kappa=0

, spontaneous magnetization does not occur and should be regarded as an external field.

quantum electrodynamics
dimension: 3
Chern-Simons term
fermion: mass generation
dynamical symmetry breaking
screening
magnetic field: production
vacuum state: stability
violation: Lorentz
symmetry: U(N)

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Figures(0)

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