Gogokhia, Vakhtang and Shurgaia, Avtandil and Vasúth, Mátyás (2015) The temperaturedependent YangMills trace anomaly as a function of the mass gap. In: 4th V.N. Gribov Memorial Workshop, 1720 June 2015., Chernogolovka, Russia. (Submitted)

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Abstract
The trace anomaly or, equivalently, the interaction measure is the important thermodynamic quantity/observable, since it is very sensitive to the nonperturbative effects in the gluon plasma. It has been calculated and its analytic and asymptotic properties have been investigated with the combined force of analytic and lattice approaches to $SU(3)$ YangMills (YM) quantum gauge theory at finite temperature. The first one is based on the effective potential approach for composite operators properly generalized to finite temperature. This makes it possible to introduce into this formalism a dependence on the mass gap $\Delta^2$, which is responsible for the largescale dynamical structure of the QCD ground state. The gluon plasma pressure as a function of the mass gap adjusted by this approach to the corresponding lattice data is shown to be a continuously growing function of temperature $T$ in the whole temperature range $[0, \infty)$ with correct StefanBoltzmann limit at very hight temperature. The corresponding trace anomaly has finite jump discontinuity at some characteristic temperature $T_c = 266.5 \ MeV$ with latent heat $\epsilon_{LH}= 1.41$. This is a firm evidence of the firstorder phase transition in $SU(3)$ pure gluon plasma.
Item Type:  Conference or Workshop Item (Paper) 

Subjects:  Q Science / természettudomány > QC Physics / fizika > QC05 Physical nature of matter / részecskefizika 
Depositing User:  Dr Mátyás Zsolt Vasúth 
Date Deposited:  24 Sep 2015 04:50 
Last Modified:  24 Sep 2015 04:50 
URI:  http://real.mtak.hu/id/eprint/27559 
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