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Higher Dimension Operators and Chiral Symmetry Breaking in Nambu-Jona-Lasinio Model

Lee, T, Oh, Yu

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Abstract

We point out that adding higher dimension operators to the Nambu-Jona-Lasinio model can stabilize chiral symmetry breaking and resolve the issue raised by Kleinert and Van den Bossche that chiral symmetry breaking cannot occur for $N_c \\le N_c^{{\\rm cr}}$ due to large quantum fluctuations of the composite fields.

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What this paper is about

We point out that adding higher dimension operators to the Nambu-Jona-Lasinio model can stabilize chiral symmetry breaking and resolve the issue raised by Kleinert and Van den Bossche that chiral symmetry breaking cannot occur for $N_c \\le N_c^{{\\rm cr}}$ due to large quantum fluctuations of the composite fields.

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Available abstract

We point out that adding higher dimension operators to the Nambu-Jona-Lasinio model can stabilize chiral symmetry breaking and resolve the issue raised by Kleinert and Van den Bossche that chiral symmetry breaking cannot occur for $N_c \\le N_c^{{\\rm cr}}$ due to large quantum fluctuations of the composite fields.

Key concepts: Nambu–Jona-Lasinio model, Chiral symmetry breaking, Dimension (graph theory), Chiral anomaly, Chiral symmetry, Symmetry breaking, Spontaneous symmetry breaking, Physics

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