No Goldstone boson in NJL and Thirring models
Takehisa Fujita, Makoto Hiramoto, Hidenori Takahashi (Nihon U.)
TL;DR
This paper analyzes chiral symmetry breaking in NJL and Thirring models, showing that in the NJL model, the boson remains massive and no Goldstone boson appears, contrary to common expectations.
Contribution
It provides an intuitive explanation and calculation demonstrating the absence of Goldstone bosons in the NJL model with chiral symmetry breaking.
Findings
Boson remains massive in the NJL model
No Goldstone boson appears despite symmetry breaking
Finite fermion mass leads to massive bosons
Abstract
We present an intuitive picture of the chiral symmetry breaking in the NJL and Thirring models. For the current current interaction model with the massless fermion, the vacuum is realized with the chiral symmetry broken phase, and the fermion acquires the induced mass. With this finite fermion mass, we calculate the boson mass, and find that the boson is always massive, and there exists no Goldstone boson in the Nambu-Jona-Lasinio (NJL) model.
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Taxonomy
TopicsQuantum Chromodynamics and Particle Interactions · High-Energy Particle Collisions Research · Particle physics theoretical and experimental studies