The Nambu-Jona-Lasinio model in light of chiral perturbation theory

T. H. Hansson; M. Prakash; I. Zahed

doi:10.1016/0550-3213(90)90169-E

The Nambu-Jona-Lasinio model in light of chiral perturbation theory

T. H. Hansson
, M. Prakash
, I. Zahed

Physics and Astronomy

Stony Brook University

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

We analyze the quark mass dependence of the chiral parameters calculated from an SU(2) Nambu-Jona-Lasinio model in the context of chiral perturbation theory. We find that in the mean-field approximation the model is unable to reproduce, within the experimental bounds, two parameters of the low-energy SU(2) effective lagrangian of Gasser and Leutwyler. Our results suggest that the model is not suited to give quantitative predictions concerning quark mass dependences. We also comment on the strange quark mass dependence of the chiral parameters in the SU(3) version of the model.

Original language	English
Pages (from-to)	67-76
Number of pages	10
Journal	Nuclear Physics, Section B
Volume	335
Issue number	1
DOIs	https://doi.org/10.1016/0550-3213(90)90169-E
State	Published - Apr 30 1990

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title = "The Nambu-Jona-Lasinio model in light of chiral perturbation theory",

abstract = "We analyze the quark mass dependence of the chiral parameters calculated from an SU(2) Nambu-Jona-Lasinio model in the context of chiral perturbation theory. We find that in the mean-field approximation the model is unable to reproduce, within the experimental bounds, two parameters of the low-energy SU(2) effective lagrangian of Gasser and Leutwyler. Our results suggest that the model is not suited to give quantitative predictions concerning quark mass dependences. We also comment on the strange quark mass dependence of the chiral parameters in the SU(3) version of the model.",

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AU - Hansson, T. H.

AU - Prakash, M.

AU - Zahed, I.

PY - 1990/4/30

Y1 - 1990/4/30

N2 - We analyze the quark mass dependence of the chiral parameters calculated from an SU(2) Nambu-Jona-Lasinio model in the context of chiral perturbation theory. We find that in the mean-field approximation the model is unable to reproduce, within the experimental bounds, two parameters of the low-energy SU(2) effective lagrangian of Gasser and Leutwyler. Our results suggest that the model is not suited to give quantitative predictions concerning quark mass dependences. We also comment on the strange quark mass dependence of the chiral parameters in the SU(3) version of the model.

AB - We analyze the quark mass dependence of the chiral parameters calculated from an SU(2) Nambu-Jona-Lasinio model in the context of chiral perturbation theory. We find that in the mean-field approximation the model is unable to reproduce, within the experimental bounds, two parameters of the low-energy SU(2) effective lagrangian of Gasser and Leutwyler. Our results suggest that the model is not suited to give quantitative predictions concerning quark mass dependences. We also comment on the strange quark mass dependence of the chiral parameters in the SU(3) version of the model.

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U2 - 10.1016/0550-3213(90)90169-E

DO - 10.1016/0550-3213(90)90169-E

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VL - 335

SP - 67

EP - 76

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 1

ER -

The Nambu-Jona-Lasinio model in light of chiral perturbation theory

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