Critical Couplings in the Nambu--Jona-Lasinio Model with the Constant Electromagnetic Fields

Details Critical Couplings in the Nambu--Jona-Lasinio Model with the Constant Electromagnetic Fields Critical Couplings in the Nambu--Jona-Lasinio Model with the Constant Electromagnetic Fields

1997-02-17

arxiv.org/abs/hep-th/9702128v1

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, 6 figure files, LaTeX

Scientific paper

A detailed analysis is performed for the Nambu--Jona-Lasinio model coupled with constant (external) magnetic and/or electric fields in two, three, and four dimensions. The infrared cut-off is essential for a well-defined functional determinant by means of the proper time method. Contrary to the previous observation, the critical coupling remains nonzero even in three dimensions. It is also found that the asymptotic expansion has an excellent matching with the exact value.

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