Trapped surfaces in a hadronic fluid

Abstract

Pion propagation in a hadronic fluid with a non-homogeneous relativistic flow is studied in terms of the linear sigma model. The wave equation turns out to be equivalent to the equation of motion for a massless scalar field propagating in a curved spacetime geometry. The metric tensor depends locally on the soft pion dispersion relation and the four-velocity of the fluid. For a relativistic flow in curved spacetime the apparent and trapping horizons may be defined in the same way as in general relativity. An expression for the analog surface gravity is derived.

24 pages, 6 figures, misprints corrected, a comment added in conclusions, accepted in Phys. Rev. D

References in corpus (7)

• Fiber-optical analogue of the event horizon
• Thermal Hadronization and Hawking-Unruh Radiation in QCD
• Dynamical surface gravity
• Cosmological apparent and trapping horizons
• Dynamical Freeze-out in 3-Fluid Hydrodynamics
• Identified particles in pp and Pb-Pb collisions at LHC energies with the ALICE detector
• Analogue surface gravity near the QCD chiral phase transition

Cited by in corpus (4)

• FRW universe in the laboratory
• Analog geometry in an expanding fluid from AdS/CFT perspective
• Cosmological particle creation in a hadronic fluid
• Analog dual to a 2+1-dimensional holographic superconductor