Parametric resonance at the critical temperature in high energy heavy ion collisions

Abstract

Parametric resonance in soft modes at the critical temperature ($T_c$) in high energy heavy ion collisions is studied in the case when the temperature ($T$) of the system is almost constant for a long time. By deviding the fields into three parts, zero mode (condensate), soft modes and hard modes and assuming that the hard modes are in thermal equilibrium, we derive the equation of motion for soft modes at $T=T_c$. Enhanced modes are extracted by comparing with the Mathieu equation for the condensate oscillating along the sigma axis at $T=T_c$. It is found that the soft mode of $\pi$ fields at about 174 MeV is enhanced.

8 pages, 1 figure Some statements and equations are modified to clarify

References in corpus (5)

• Lattice QCD at Finite Temperature and Density
• Effects of friction on the chiral symmetry restoration in high energy heavy-ion collisions
• Nonlinear evolution of the momentum dependent condensates in strong interaction: the ``pseudoscalar laser''
• Pattern Formation in the Early Universe
• Parametric amplification with a friction in heavy ion collisions

Cited by in corpus (3)

• Comparing effective temperatures in standard and Tsallis distributions from transverse momentum spectra in small collision systems
• Effects of Tsallis distribution on parametric resonance in chiral phase transitions
• Amplification induced by white noise