Goldstone bosons in the massless Thirring model. Witten's criterion

Details Goldstone bosons in the massless Thirring model. Witten's criterion Goldstone bosons in the massless Thirring model. Witten's criterion

2003-05-20

arxiv.org/abs/hep-th/0305174v1

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, Latex, no figures

Scientific paper

We discuss the Ward identity and the low-energy theorem for the divergence of the axial-vector current in the massless Thirring model with fermion fields quantized in the chirally broken phase (Eur. Phys. J. C20, 723 (2001)). The Ward identity and the low-energy theorem are analysed in connection with Witten's criterion for Goldstone bosons (Nucl. Phys. B145, 110 (1978)). We show that the free massless (pseudo)scalar field bosonizing the massless Thirring model in the chirally broken phase satisfies Witten's criterion to interpret quanta of this field as Goldstone bosons. As has been shown in hep-th/0210104 and hep-th/0212226, Goldstone's criterion, the non-invariance of the wave function of the ground state, is also fulfilled.

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