BCS, Nambu-Jona-Lasinio, and Han-Nambu: A sketch of Nambu's works in 1960-1965. Fujikawa, K. Progress of Theoretical and Experimental Physics, June, 2016. WOS:000381227000002doi abstract bibtex The years 1960-1965 were a remarkable period for Yoichiro Nambu. Starting with a reformulation of BCS theory with emphasis on gauge invariance, he recognized the realization of spontaneous chiral symmetry breaking in particle physics as evidenced by the Goldberger-Treiman relation. A concrete model of Nambu and Jona-Lasinio illustrated the essence of the Nambu-Goldstone theorem and the idea of soft pions. After the proposal of the quark model by Gell-Mann, he together with Han constructed an alternative model of integrally charged quarks with possible non-Abelian gluons. All these remarkable works were performed during the years 1960-1965. Here I briefly review those works following the original papers of Nambu chronologically, together with a brief introduction to a formulation of Noether's theorem and the Ward-Takahashi identities using path integrals. This article is mostly based on a lecture given at the Nambu Memorial Symposium held at Osaka City University in September 2015, where Nambu started his professional career.
@article{fujikawa_bcs_2016,
title = {{BCS}, {Nambu}-{Jona}-{Lasinio}, and {Han}-{Nambu}: {A} sketch of {Nambu}'s works in 1960-1965},
issn = {2050-3911},
shorttitle = {{BCS}, {Nambu}-{Jona}-{Lasinio}, and {Han}-{Nambu}},
doi = {10.1093/ptep/ptw029},
abstract = {The years 1960-1965 were a remarkable period for Yoichiro Nambu. Starting with a reformulation of BCS theory with emphasis on gauge invariance, he recognized the realization of spontaneous chiral symmetry breaking in particle physics as evidenced by the Goldberger-Treiman relation. A concrete model of Nambu and Jona-Lasinio illustrated the essence of the Nambu-Goldstone theorem and the idea of soft pions. After the proposal of the quark model by Gell-Mann, he together with Han constructed an alternative model of integrally charged quarks with possible non-Abelian gluons. All these remarkable works were performed during the years 1960-1965. Here I briefly review those works following the original papers of Nambu chronologically, together with a brief introduction to a formulation of Noether's theorem and the Ward-Takahashi identities using path integrals. This article is mostly based on a lecture given at the Nambu Memorial Symposium held at Osaka City University in September 2015, where Nambu started his professional career.},
language = {English},
number = {6},
journal = {Progress of Theoretical and Experimental Physics},
author = {Fujikawa, Kazuo},
month = jun,
year = {2016},
note = {WOS:000381227000002},
keywords = {weak interactions, Particles, axial-vector current, b02, b30, b46, b59, b60, beta-decay, broken symmetries, conservation, dynamical model, gauge-invariance, mesons, superconductivity},
pages = {06A101}
}
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