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The Nambu—Jona-Lasinio model of quantum chromodynamics
Abstract
The Nambu---Jona-Lasinio model is reviewed in its flavor SU(2) and SU(3) versions applied to quarks. The dynamical generation of quark masses is demonstrated as a feature of chiral symmetry breaking. One finds that the associated meson spectra, as well as the meson static properties, can be well described. Current-algebra results, which arise as a consequence of symmetry considerations, automatically hold for this model and are explicitly demonstrated to do so. These include the Goldberger-Treiman and Gell-Mann-Oakes-Renner relations. Effects of finite temperature, finite chemical potential, and strong Maxwell and chromoelectromagnetic fields on the dynamically generated quark mass and the meson spectra are discussed. The alternative procedure of bosonization to obtain an effective Lagrange density in mesonic degrees of freedom, using the derivative expansion, is also presented. The current status in relating the results of this model to that of chiral perturbation theory is critically examined.
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Citations
Cites
Symmetry Breaking through Bell-Jackiw Anomalies
't Hooft, G. (1976) · Physical Review Letters · doi:10.1103/physrevlett.37.8 · Cited by 3,362
Gasser, J., & Leutwyler, H. (1982) · Physics Reports · doi:10.1016/0370-1573(82)90035-7 · Cited by 1,753
Cited by
Dyson-Schwinger Equations: Density, Temperature and Continuum Strong QCD
Roberts, C. (2000) · Progress in Particle and Nuclear Physics · doi:10.1016/s0146-6410(00)00106-x · Cited by 632
Identifying a First-Order Phase Transition in Neutron-Star Mergers through Gravitational Waves
Bauswein, A., Bastian, N.-U. F., Blaschke, D. B., Chatziioannou, K., Clark, J. A., Fischer, T., & Oertel, M. (2019) · Physical Review Letters · doi:10.1103/physrevlett.122.061102 · Cited by 404
Universality, the QCD critical and tricritical point, and the quark number susceptibility
Hatta, Y., & Ikeda, T. (2003) · Physical Review D · doi:10.1103/physrevd.67.014028 · Cited by 334
Can disoriented chiral condensates form? A dynamical perspective
Boyanovsky, D., de Vega, H. J., & Holman, R. (1995) · Physical Review D · doi:10.1103/physrevd.51.734 · Cited by 111
Fillion-Gourdeau, F., Herrmann, H. J., Mendoza, M., Palpacelli, S., & Succi, S. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.160602 · Cited by 31
Metadata
- Authors
- Klevansky, S. P.
- Venue
- Reviews of Modern Physics
- Publisher
- American Physical Society (APS)
- Published
- 1992-07-01
- Volume
- 64
- Issue
- 3
- Pages
- 649-708
- ISSN
- 0034-6861 (ISSN-L)
- 1539-0756
- OpenAlex
- W2130776923
- Cited by
- 1,832
- References
- 2
- FWCI
- 22.73
- Type
- journal article
- Language
- en
- Open access
- closed
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- Klevansky, S. P. (1992). The Nambu—Jona-Lasinio model of quantum chromodynamics. Reviews of Modern Physics. https://doi.org/10.1103/revmodphys.64.649
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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