Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Study of entropy production in Yang-Mills theory with use of Husimi
  function   Understanding the thermalization process in a pure quantum system is a
challenge in theoretical physics. In this work, we explore possible
thermalization mechanism in Yang-Mills(YM) theory by using a positive
semi-definite quantum distribution function called a Husimi function which is
given by a coarse graining of the Wigner function within the minimum
uncertainty. Then entropy is defined in terms of the Husimi function, which is
called the Husimi-Wehrl(HW) entropy. We propose two numerical methods to
calculate the HW entropy. We find that it is feasible to apply the
semi-classical approximation with the use of classical YM equation. It should
be noted that the semi-classical approximation is valid in the systems of
physical interest including the early stage of heavy-ion collisions. Using a
product ansatz for the Husimi function, which is confirmed to reproduce the HW
entropy within 20% error (overestimate) for a few-body quantum system, we
succeed in a numerical evaluation of HW entropy of YM fields and show that it
surely has a finite value and increases in time.

34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
2
The categories of this paper are: math
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg