Summary
The Nambu, Jona-Lasinio broken symmetry theory is restated in terms of Green’s functions in the presence of an external current source. Using these Green’s functions, it is possible to calculate the lowest-order effects of electromagnetic interactions on the initially massless pseudoscalar mesons induced by the broken symmetry. It is found that the uncharged meson acquires no mass and hence the results are consistent with the Goldstone theorem applied to the fully interacting system.
Riassunto
Si riformula, in termini di funzioni di Green in presenza di una sorgente esterna, la teoria della simmetria interrotta di Nambu, Iona Lasinio. Servendosi di queste funzioni di Green è possibile calcolare gli effetti di ordine minimo indotti dalla simmetria interrotta sui mesoni pseudoscalari inizialmente privi di massa. Si trova che il mesone, privo di cariea non acquista massa e pertauto i risultati sono coerenti col teorema di Goldstone applicato al sistema pienamente interagente.
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References
J. Goldstone:Nuovo Cimento,19, 154 (1961);J. Goldstone, A. Salam andS. Weinberg:Phys. Rev.,127, 965(1962);S. A. Bludman andA. Klein:Phys. Rev.,131, 2364 (1963).
Y. Nambu andG. Jona-Lasinio:Phys. Rev.,122, 345 (1961);G. Jona-Lasinio andY. Nambu:Phys. Rev.,124, 246 (1961).
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The research reported in this document has been sponsored in part by the Air Force Office of Scientific Research OAR through the European Office Aerospace Research United States Air Force.
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Guralnik, G.S. Electromagnetic interaction of mesons resulting from a broken symmetry. Nuovo Cim 36, 1002–1015 (1965). https://doi.org/10.1007/BF02749798
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DOI: https://doi.org/10.1007/BF02749798