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Prog. Theor. Phys. Vol. 100 No. 2 (1998) pp. 353-374

Nambu–Jona-Lasinio Model Coupled to Constant Electromagnetic Fields in D-Dimension

Masaru Ishi-i,^*) Taro Kashiwa^**) and Naoki Tanimura^***)

Department of Physics, Kyushu University, Fukuoka 812-8581, Japan

(Received December 9, 1997)

Abstract:

Critical dynamics of the Nambu–Jona-Lasinio model, coupled to constant electromagnetic fields in D=2, 3 and 4, is reinvestigated with emphasis on the infrared behavior of the effective potential. The result confirms a previous observation, interpreted as “dimensional reduction, D→D-2”, that the critical coupling goes to zero even under an infinitesimal magnetic field. Although the full effective potential is obtained nonperturbatively, a perturbation with respect to external fields up to the first few terms is utilized. The resultant asymptotic expansion, however, matches excellently with the exact value (especially in the pure magnetic case).

URL : http://ptp.ipap.jp/link?PTP/100/353/
DOI : 10.1143/PTP.100.353

^*)E-mail: isii1scp@mbox.nc.kyushu-u.ac.jp
^**)E-mail: taro1scp@mbox.nc.kyushu-u.ac.jp
^***)E-mail: tnmr1scp@mbox.nc.kyushu-u.ac.jp

[ Full Text PDF : FREE ACCESS (858K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 103 No. 3 (2000) pp. 665-683 :

   Functional Integral in Terms of the Field Strength

   Naoki Tanimura

2. Progress of Theoretical Physics Vol. 111 No. 3 (2004) pp. 371-386 :

   Four-Fermion Interaction Model in a Constant Magnetic Field at Finite Temperature and Chemical Potential

   Tomohiro Inagaki, Daiji Kimura and Tsukasa Murata

3. Progress of Theoretical Physics 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, Tomohiro Inagaki and Daiji Kimura

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