Historical Mistake in Spontaneous Symmetry Breaking
T. Fujita, M. Hiramoto, H. Takahashi
Abstract
The prediction of a massless boson after the spontaneous chiral symmetry breaking in the classic paper of Nambu and Jona-Lasinio (NJL) is shown to be wrong. Their mistake is due to a carelessly employed perturbative vacuum when evaluating the boson mass by summing up one loop Feynman diagrams. With the proper symmetry broken vacuum, one obtains a finite boson mass depending on the coupling constant G.
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