scholarly journals Linear growth of the trace anomaly in Yang-Mills thermodynamics

2007 ◽  
Vol 76 (8) ◽  
Author(s):  
Francesco Giacosa ◽  
Ralf Hofmann
Keyword(s):  
Linear Growth ◽  
Yang Mills ◽  
Trace Anomaly

scholarly journals The temperature-dependent Yang-Mills trace anomaly as a function of the mass gap

2016 ◽  
Vol 31 (28n29) ◽  
pp. 1645026
Author(s):  
V. Gogokhia ◽  
A. Shurgaia ◽  
M. Vasúth
Keyword(s):  
High Temperature ◽  
Finite Temperature ◽  
Gluon Plasma ◽  
Jump Discontinuity ◽  
Dynamical Structure ◽  
Yang Mills ◽  
Mass Gap ◽  
Trace Anomaly ◽  
Quantum Gauge Theory ◽  
Very High

The trace anomaly or, equivalently, the interaction measure is an important thermodynamic quantity/observable, since it is very sensitive to the non-perturbative 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 the [Formula: see text] Yang-Mills (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 [Formula: see text], which is responsible for the large-scale 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 [Formula: see text] in the whole temperature range [Formula: see text] with the correct Stefan-Boltzmann limit at very high temperature. The corresponding trace anomaly has a finite jump discontinuity at some characteristic temperature [Formula: see text] with latent heat [Formula: see text]. This is a firm evidence of the first-order phase transition in [Formula: see text] pure gluon plasma. It is exponentially suppressed below [Formula: see text] and has a complicated and rather different dependence on the mass gap and temperature across [Formula: see text]. In the very high temperature limit its non-perturbative part has a power-type fall off.

Linear growth of instabilities on a liquid metal under normal electric field

1993 ◽  
Vol 3 (8) ◽  
pp. 1201-1225 ◽  
Author(s):  
G. N�ron de Surgy ◽  
J.-P. Chabrerie ◽  
O. Denoux ◽  
J.-E. Wesfreid
Keyword(s):  
Liquid Metal ◽  
Electric Field ◽  
Linear Growth ◽  
Normal Electric Field
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