Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Instanton in Euclidean non-abelian field of point-like source   {(Anti-)instanton behaviour in Euclidean non-abelian field of the point-like
source is studied by analyzing the possible (anti-)instanton deformations as
resulted from the variations of its characteristic parameters. The variational
principle for searching such crumpled topological configurations is formulated
and the problem is resolved then algebraically by the Ritz method (multipole
expansion of the deformation fields). The region of (anti-)instanton parameters
relevant to the instanton liquid model is investigated in detail. The
approximate efficacious method to include such configurations contributing to
the appropriate partition function is proposed and verified. Evaluating average
energy of Euclidean non-abelian point-like source in the instanton environment
(liquid) is performed within the superposition ansatz for the corresponding
solutions of the Yang-Mills equations. For the colour singlet dipole this
energy escalates linearly with the separation increasing and its tension
coefficient develops the magnitude commensurate with that as inferred from
lattice QCD.

34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
2
The categories of this paper are: math
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an