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Prog. Theor. Phys. Vol. 103 No. 3 (2000) pp. 665-683
Functional Integral in Terms of the Field Strength
— An Approach to Chiral Symmetry Breaking
—
Naoki Tanimura*)
Department of Physics, Kyushu University,
Fukuoka 812-8581, Japan
(Received August 11, 1999)
Abstract:
Chiral symmetry breaking in 4-dimensional QED with
a chirally invariant four-fermion interaction is studied by using
a novel path integral expression in terms of the field-strength
tensor. In the local potential approximation, we find that the
chiral symmetry is spontaneously broken
for any nonzero gauge and four-fermion couplings on the tree level
of an auxiliary field σ. The present approach allows us to
easily include higher orders of the gauge coupling so that
the effective potential up to the sixth order is obtained.
URL :
http://ptp.ipap.jp/link?PTP/103/665/
DOI : 10.1143/PTP.103.665
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