Comments on compositeness in the SU(2) linear sigma model

Details Comments on compositeness in the SU(2) linear sigma model Comments on compositeness in the SU(2) linear sigma model

1997-12-17

arxiv.org/abs/hep-ph/9712425v2

Phys.Rev.D57:5307-5310,1998

Physics

High Energy Physics

High Energy Physics - Phenomenology

Latex, 10 pages. To appear in PRD

Scientific paper

10.1103/PhysRevD.57.5307

First we summarize the quark-level linear $\sigma$ model compositeness conditions and verify that indeed $m_\sigma = 2 m_q$ when $m_\pi = 0$ and $N_c=3$, rather than in the $N_c\to\infty$ limit, as is sometimes suggested. Later we show that this compositeness picture also predicts a chiral symmetry restoration temperature $T_c = 2f_\pi$, where $f_\pi$ is the pion decay constant. We contrast this self-consistent Z=0 compositeness analysis with prior studies of the compositeness problem.

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