Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic freedom in the Hamiltonian approach to binding of color   We derive asymptotic freedom and the $SU(3)$ Yang-Mills $\beta$-function
using the renormalization group procedure for effective particles. In this
procedure, the concept of effective particles of size $s$ is introduced.
Effective particles in the Fock space build eigenstates of the effective
Hamiltonian $H_s$, which is a matrix written in a basis that depend on the
scale (or size) parameter $s$. The effective Hamiltonians $H_s$ and the
(regularized) canonical Hamiltonian $H_{0}$ are related by a similarity
transformation. We calculate the effective Hamiltonian by solving its
renormalization-group equation perturbatively up to third order and calculate
the running coupling from the three-gluon-vertex function in the effective
Hamiltonian operator.

20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio