I working on researche and I need a formula of thermal gloun condensation at very high energy which is out of my field.
I found the formula below, which give this by taking trace anomaly depending on lattice field theory.
$_T = _0 -_T$
i'll attach the link of the reference "I can't find it "
my questions are:
1) Is the QCD trace anomaly a necessary condition for a non-vanishing gluon condensate? i.e. had there was no trace-anomaly, should the thermal average of the gluon field squared expectation values be zero? or it can always have on dimensional grounds a thermodynamic contribution proportional to $T^4$ for very high temperatures?
2) According to the above relation, the value of the `thermal' gluon condensate should be negative and proportional to $T^4$ for very high temperatures.
Are there any models predicting in contrast a ''positive'' value of $_T$ at very high $T$?
I am not an expert on this but there is a discussion on this in a recent book
The Mass Gap and Its Applications
By Gogokhia Vakhtang, Gergely Gábor Barnaföldi
published by World Scientific. You need to ask Lattice Gauge Theorist. Perhaps my friend
Tanmoy Bhattacharya can help you with this.
This is a great question. I hope that we get some debate on this issue.
The idea is we need to revisit the old model.
I think you can use TFD same .please, you can read this artical http://www.worldscientific.com/doi/abs/10.1142/S0217751X13500322
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