Pion Velocity near the Chiral Phase Transition

We focus on the pion velocity at the critical temperature and study the quantum and hadronic thermal effects based on the vector manifestation (VM). We show the non-renormalization property on the pion velocity $v_\pi$, which is protected by the VM, and estimate the value of $v_\pi$ to be close to the speed of light.Comment: 2 pages, talk given at the YITP workshop on ``Nuclear Matter under Extreme Conditions'' (Matter03), Dec. 1-3, 2003, Kyoto, Japa

Interplay between chromoelectric and chromomagnetic gluons in Yang-Mills thermodynamics

We propose an effective theory of SU(3) gluonic matter where interactions between color-electric and color-magnetic gluons are constrained by the center and scale symmetries. Through matching to the dimensionally-reduced magnetic theories, the magnetic gluon condensate qualitatively changes its thermal behavior above the critical temperature. We argue its phenomenological consequences for the thermodynamics, in particular the dynamical breaking of scale invariance.Comment: 4 pages, presented at International Conference on new Frontiers in Physics (ICNFP 2013), Aug 28-Sep 5 2013, Kolymbari, Crete, Greec