Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Confinement/deconfinement transition temperature from the Polyakov loop
  potential and gauge-invariant gluon mass   We give an analytical derivation of the confinement/deconfinement phase
transition at finite temperature in the $SU(N)$ Yang-Mills theory in the
$D$-dimensional space time for $D>2$. For this purpose, we use a novel
reformulation of the Yang-Mills theory which allows the gauge-invariant gluonic
mass term, and calculate analytically the effective potential of the Polyakov
loop average concretely for the $SU(2)$ and $SU(3)$ Yang-Mills theories by
including the gauge-invariant dynamical gluonic mass $M$. For $D=4$, we give an
estimate on the transition temperature $T_d$ as the ratio $T_d/M$ to the mass
$M$ which has been measured on the lattice at zero temperature and is
calculable also at finite temperature. We show that the order of the phase
transition at $T_d$ is the second order for $SU(2)$ and weakly first order for
$SU(3)$ Yang-Mills theory. We elucidate what is the mechanism for quark
confinement and deconfinement at finite temperature and why the phase
transition occurs at a certain temperature. These initial results are obtained
easily based on the analytical calculations of the "one-loop type" in the first
approximation. We discuss also how these results are improved to eliminate the
artifacts obtained for some thermodynamic observables.

19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
2
The categories of this paper are: math
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int