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Prog. Theor. Phys. Vol. 117 No. 1 (2007) pp. 139-160
Influence of QED Corrections on the Orientation of Chiral Symmetry Breaking in the NJL Model
Takahiro Fujihara,1
Tomohiro Inagaki2 and
Daiji Kimura1
1Department of Physics, Hiroshima University,
Higashi-Hiroshima 739-8526, Japan
2Information Media Center, Hiroshima University, Higashi-Hiroshima
739-8521, Japan
(Received November 18, 2005)
Abstract:
We study QED corrections to chiral symmetry breaking
in the Nambu–Jona-Lasinio (NJL) model with two flavors of quarks.
In this model, the isospin symmetry is broken by the differences
between the current quark masses and the electromagnetic charges of
the up and down quarks.
To leading order in the 1/N expansion, we calculate
the effective potential of the model with one-loop QED corrections
at finite temperature. Evaluating the effective potential,
we study the influence of the isospin symmetry breaking on the
orientation of chiral symmetry breaking.
The current quark mass plays an essential role in maintaining
the orientation of the chiral symmetry breaking.
If the average of the up and down quark masses is small enough,
we find a phase in which the pion field has non-vanishing
expectation value and dynamical CP violation takes place.
URL :
http://ptp.ipap.jp/link?PTP/117/139/
DOI : 10.1143/PTP.117.139
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