Spontaneous Generation of Pseudoscalar Mass in the U(3)xU(3) Linear Sigma Model

Details Spontaneous Generation of Pseudoscalar Mass in the U(3)xU(3) Linear Sigma Model Spontaneous Generation of Pseudoscalar Mass in the U(3)xU(3) Linear Sigma Model

1997-12-22

arxiv.org/abs/hep-ph/9712479v2

Phys.Lett. B426 (1998) 105-113

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages revtex, 6 figures. Revritten paper to appear in Phys.Lett.B

Scientific paper

10.1016/S0370-2693(98)00240-8

A novel, nonperturbative, way to generate chiral symmetry breaking within the linear sigma model for 3 flavours is discussed. After spontaneous chiral symmetry breaking in the vacuum at the tree level the scalar nonet obtains mass, while the pseudoscalars are massless. Then, including quantum loops in a nonperturbative, self-consistent way chiral symmetry is broken by nonplanar graphs in a second step, and also the pseudoscalars become massive. By interpreting the basic symmetry to be a discrete permutation symmetry, in accord with superselection rules, no additional Goldstone bosons are expected.

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