Soft deconfinement — critical phenomena at the Mott transition in a field theory for quarks and mesons
Abstract
Critical phenomena associated with Mott transitions are investigated in the finite temperature SU_{f}(3) NambuJonaLasinio model, that describes quarks u, d, s and bound mesons π, K. Critical exponents for the behavior close to the Mott temperature T_{M} are determined for the static properties of a pion, such as m_{π}( T), g_{πqq}( T), f_{π}( T), < r^{2}> _{π}, and the pion polarizabilities α_{C, N}, as well as for the behavior of m_{K}( T), g_{Kqs}( T) f_{K}( T) in the strange sector. The effect of the Mott transitions on the q overlineq and ππ scattering lengths and for hadronization cross sections σ _{q overlineq→ππ }(T) is discussed. Divergencies that occur in these quantities at T_{M} indicate an intransparence with respect to hadronic and photonic probes, much like the phenomenon of critical opalescence. Physically, the Mott transition models the deconfinement transition expected of QCD since it corresponds to a delocalizayion of the bound states when the temperature is raised above T_{M}.
 Publication:

Nuclear Physics A
 Pub Date:
 February 1996
 DOI:
 10.1016/03759474(96)002060
 Bibcode:
 1996NuPhA.606..260H