Droplets in the cold and dense linear sigma model with quarks

Abstract

The linear sigma model with quarks at very low temperatures provides an effective description for the thermodynamics of the strong interaction in cold and dense matter, being especially useful at densities found in compact stars and protoneutron star matter. Using the MSbar one-loop effective potential, we compute quantities that are relevant in the process of nucleation of droplets of quark matter in this scenario. In particular, we show that the model predicts a surface tension of Σ~ 5-15 MeV/fm^2, rendering nucleation of quark matter possible during the early post-bounce stage of core collapse supernovae. Including temperature effects and vacuum logarithmic corrections, we find a clear competition between these features in characterizing the dynamics of the chiral phase conversion, so that if the temperature is low enough the consistent inclusion of vacuum corrections could help preventing the nucleation of quark matter during the collapse process. We also discuss the first interaction corrections that come about at two-loop order.

revtex4; 11 pages, 10 figures; v2: minor changes, references added

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• Constraining quark-hadron interface tension in the multi-messenger era
• Systematic study on the quark-hadron mixed phase in compact stars
• Hadron-quark mixed phase in the quark-meson coupling model
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• Thermodynamics of 2+1 Flavor Polyakov-Loop Quark-Meson Model under External Magnetic Field
• Effective actions and bubble nucleation from holography
• Phase Transitions in Neutron Stars
• Framework for phase transitions between the Maxwell and Gibbs constructions
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• Probing criticality with deep learning in relativistic heavy-ion collisions
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• Quark-hadron pasta phase in neutron stars: the role of medium-dependent surface and curvature tensions
• SU(3) parity doubling in cold neutron star matter
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• Framework for phase transitions between the Maxwell and Gibbs constructions at finite temperature
• Chiral symmetry breaking and pion condensation in the early universe
• Bubble dynamics in the Polyakov quark-meson model
• Role of thermal fluctuations in nucleation of three-flavor quark matter
• Interacting quark matter effects on the structure of compact stars
• Transport coefficients of chiral fluid dynamics using low-energy effective models
• Compact dwarfs made of light-quark nuggets
• Isentropic hybrid stars in the Nambu-Jona-Lasinio model: effects of neutrino trapping