Analogue surface gravity near the QCD chiral phase transition
arXiv:1207.2869 · doi:10.1016/j.physletb.2012.10.029
Abstract
Using the formalism of relativistic acoustic geometry we study the expanding chiral fluid in the regime of broken chiral symmetry near the QCD chiral phase transition temperature T_c. The dynamics of pions below T_c is described by the equation of motion for a massless scalar field propagating in curved spacetime similar to an open FRW universe. The metric tensor depends locally on the soft pion dispersion relation and the four-velocity of the fluid. In the neighborhood of the critical point an analogue trapped region forms with the analogue trapped horizon as its boundary. We show that the associated surface gravity diverges near the critical point as 1/(T_c-T). Hence, if the horizon forms close to the critical temperature the analogue Hawking temperature may be comparable with or even larger than the background fluid temperature.
11 pages, typos corrected, clarifications added, references added, accepted in Phys. Lett. B
References in corpus (30)
- Analogue Gravity
- Acoustic black holes: horizons, ergospheres, and Hawking radiation
- Fiber-optical analogue of the event horizon
- General Laws of Black-Hole Dynamics
- Unified first law of black-hole dynamics and relativistic thermodynamics
- The Search for the Quark-Gluon Plasma
- Centrality dependence of multiplicity, transverse energy, and elliptic flow from hydrodynamics
- Hawking Radiation of Apparent Horizon in a FRW Universe
- Event horizons and ergoregions in 3He
- Propagation of Cool Pions
- Kodama time: Geometrically preferred foliations of spherically symmetric spacetimes
- Acoustic geometry for general relativistic barotropic irrotational fluid flow
- Dynamical surface gravity
- Relativistic Acoustic Geometry
- Chiral symmetry restoration in linear sigma models with different numbers of quark flavors
- Pion Production from Baked-Alaska Disoriented Chiral Condensate
- Pion Propagation near the QCD Chiral Phase Transition
- Real-time pion propagation in finite-temperature QCD
- Cosmological apparent and trapping horizons
- Time evolution of the chiral phase transition during a spherical expansion
- Quasi-local first law of black-hole dynamics
- Surface gravity in dynamical spherically symmetric spacetimes
- Spherically symmetric trapping horizons, the Misner-Sharp mass and black hole evaporation
- Dynamical Surface Gravity in Spherically Symmetric Black Hole Formation
- The O(N) linear sigma model at finite temperature beyond the Hartree approximation
- Chiral-symmetry restoration in the linear sigma model at nonzero temperature and baryon density
- The Likelihood of DCC Formation
- Calculation of the expansion rate of the three-volume measure in high-energy heavy-ion collisions
- Superluminal pions in a hadronic fluid
- Effective equation of state for a spherically expanding pion plasma