Abstract
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.
Highlights
In Yang-Mills (YM) theories at finite temperature T the magnetic screening mass is dynamically generated as a ultra-soft scale g2T [1, 2]
In [12] we propose a different effective theory where the non-trivial behavior of I(T )/T 2 emerges dynamically from chromomagnetic gluons, without relying on any assumption for the gluon thermal mass
We have presented an effective theory of SU(3) YM thermodynamics implementing the major global symmetries, the center and scale symmetries
Summary
In Yang-Mills (YM) theories at finite temperature T the magnetic screening mass is dynamically generated as a ultra-soft scale g2T [1, 2]. The magnetic sector remains non-trivial in the high temperature phase and the spatial string tension is non-vanishing for all temperatures [3, 4], indicating certain confining properties. The constants cσ and cm appear in the spatial string tension and in the magnetic gluon mass as σs(T ) = cσg2(T )T , mg(T ) = cmg2(T )T.
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