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On theO(1/N 2)β-function of the Nambu-Jona-Lasinio model with non-abelian chiral symmetry

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Zeitschrift für Physik C Particles and Fields

Abstract

We present the formalism for computing the critical exponent corresponding to the β-function of the Nambu-Jona-Lasinio model withSU(M)×SU(M) continuous chiral symmetry atO(1/N 2) in a largeN expansion, whereN is the number of fermions. We find that the equations can only be solved for the caseM=2 and subsequently an analytic expression is then derived. This contrasting behavior between theM=2 andM>2 cases, which appears first atO(1/N 2), is related to the fact that the anomalous dimensions of the bosonic fields are only equivalent forM=2.

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  1. Department of Applied Mathematics and Theoretical Physics, University of Liverpool, P.O.Box 147, L69 3BX, Liverpool, UK

    J. A. Gracey

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  1. J. A. Gracey
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Gracey, J.A. On theO(1/N 2)β-function of the Nambu-Jona-Lasinio model with non-abelian chiral symmetry. Z. Phys. C - Particles and Fields 61, 115–124 (1994). https://doi.org/10.1007/BF01641894

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  • DOI: https://doi.org/10.1007/BF01641894

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