Chiral Symmetry Breaking and Pion Wave Function

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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latex, revtex, 16 pages

Scientific paper

10.1103/PhysRevD.48.5376

We consider here chiral symmetry breaking through nontrivial vacuum structure with quark antiquark condensates. We then relate the condensate function to the wave function of pion as a Goldstone mode. This simultaneously yields the pion also as a quark antiquark bound state as a localised zero mode in vacuum. We illustrate the above with Nambu Jona-Lasinio model to calculate different pionic properties in terms of the vacuum structure for breaking of exact or approximate chiral symmetry, as well as the condensate fluctuations giving rise to $\sigma$ mesons.

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