Chiral symmetry breaking in accelerating and rotating frames

We study chiral symmetry breaking and restoration in accelerating and rotating frames using low-energy effective models. By analyzing the chiral condensate in Rindler coordinates, we show that different renormalization schemes lead to distinct conclusions in accelerating frame: the scheme with subtracting divergences in Rindler vacuum supports an acceleration-independent critical temperatures, while the other scheme with subtracting divergences in Minkowski vacuum suggests enhanced critical temperature. We further investigate system with both rotation and acceleration. We find that the critical acceleration (see definition in Section V) for chiral symmetry restoration decreases with angular velocity, indicating cooperative effects from acceleration-induced thermalization and rotation-induced effective chemical potential.

💡 Research Summary

The paper investigates how uniform acceleration and global rotation together influence chiral symmetry breaking and restoration in strongly interacting matter, using low‑energy effective theories (the Nambu–Jona‑Lasinio model and the nonlinear sigma model). The authors first set up the formalism for a system in global thermal equilibrium under both acceleration a and angular velocity Ω. By maximizing the entropy under fixed energy‑momentum and angular‑momentum fluxes, they obtain the equilibrium density operator
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