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In this paper the spectrum of quark-antiquark systems, including light mesonsand tachyons, is studied in the true vacuum and in the chiral invariant vacuum.The mass gap equation for the vacua and the Salpeter-RPA equation for themesons are solved for a simple chiral invariant and confining quark model. AtT=0 and in the true vacuum, the scalar and pseudoscalar, or the vector andaxial vector are not degenerate, and in the chiral limit, the pseudoscalargroundstates are Goldstone bosons. At T=0 the chiral invariant vacuum is anunstable vacuum, decaying through an infinite number of scalar and pseudoscalartachyons. Nevertheless the axialvector and vector remain mesons, with realmasses. To illustrate the chiral restoration, an arbitrary path between the twovacua is also studied. Different families of light-light and heavy-lightmesons, sensitive to chiral restoration, are also studied. At highertemperatures the potential must be suppressed, and the chiral symmetry can berestored without tachyons, but then all mesons have small real masses.Implications for heavy-ion collisions, in particular for the recent vectormeson spectra measured by the NA60 collaboration, are discussed.Comment: 9 pages, 5 figures, 3 table

Mesons and tachyons with confinement and chiral restoration