DCC dynamics with the SU(3) linear sigma model

Abstract

The SU(3) extension of the linear sigma model is employed to elucidate the effect of including strangeness on the formation of disoriented chiral condensates. By means of a Hartree factorization, approximate dispersion relations for the 18 scalar and pseudoscalar meson species are derived and their self-consistent solution makes it possible to trace out the thermal path of the two order parameters as well as delineate the region of instability within which spontaneous pair creation becomes possible. The results depend significantly on the employed sigma mass, with the highest values yielding the largest regions of instability. An approximate solution of the equations of motion for the order parameter in scenarios emulating uniform scaling expansions show that even with a rapid quench only the pionic modes grow unstable. Nevertheless, the rapid and oscillatory relaxation of the order parameters leads to enhanced production of both pions and (to a lesser degree) kaons.

29 pages, RevTeX, 11 postscript figures, discussion about anomaly term added

References in corpus (9)

• Possibility of spontaneous parity violation in hot QCD
• Chiral Lagrangian for strange hadronic matter
• Evidence for a scalar kappa(900) resonance in pi-K scattering
• Pion Production from Baked-Alaska Disoriented Chiral Condensate
• Dissipation and Fluctuation at the Chiral Phase Transition
• Photoproduction Enhancement from Non Equilibrium Disoriented Chiral Condensates
• Dileptons from Disoriented Chiral Condensates
• The Schwinger Nonet Mass and Sakurai Mass-Mixing Angle Formulae Reexamined
• Disoriented chiral condensate formation from tubes of hot quark plasma

Cited by in corpus (23)

• Chiral Symmetry Restoration at Nonzero Temperature in the SU(3) \times SU(3) Linear Sigma Model
• The three-flavor chiral phase structure in hot and dense QCD matter
• Mixing of scalar tetraquark and quarkonia states in a chiral approach
• Scalar-pseudoscalar meson behavior and restoration of symmetries in SU(3) PNJL model
• Strong and electromagnetic decays of the light scalar mesons interpreted as tetraquark states
• Finite Temperature Meson Correlation Functions in HTL Approximation
• Analysis of U${}_A$(1) symmetry-breaking and restoration effects on the scalar-pseudoscalar spectrum
• Disoriented Chiral Condensate: Theory and Experiment
• Effective Restoration of the U_A(1) symmetry in the SU(3) linear sigma model
• First-order chiral phase transition may naturally lead to the ``quenched'' initial condition and strong soft-pion fields
• Effective restoration of the U_A(1) symmetry with temperature and density
• Kaon and Pion Fluctuations from Small Disoriented Chiral Condensates
• Decay of light scalar mesons into vector-photon and into pseudoscalar mesons
• Dynamical simulation of DCC formation in Bjorken rods
• Hard Thermal Loop -- theory and applications
• Modern nuclear and astrophysical constraints of dense matter in a renormalized chiral approach
• Modeling of Charged-Neutral Kaon Fluctuations as a Signature of DCC Production in A--A Collisions
• From QFT to DCC
• Strange Fluctuations at RHIC
• Disoriented chiral condensate in presence of dissipation and noise
• Kinetic equation for tachyons
• Relaxation times for disoriented isospin condensates in high energy heavy ion collisions
• Spin melting and refreezing driven by uniaxial compression on a dipolar hexagonal plate