Historical Mistake in Spontaneous Symmetry Breaking

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 $G$.

3 pages

References in corpus (2)

• No Goldstone boson in NJL and Thirring models
• No massless boson in chiral symmetry breaking in NJL and Thirring models