Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Background field dependence from the Slavnov-Taylor identity in
  (non-perturbative) Yang-Mills theory   We show that in Yang-Mills theory the Slavnov-Taylor (ST) identity, extended
in the presence of a background gauge connection, allows to fix in a unique way
the dependence of the vertex functional on the background, once the 1-PI
amplitudes at zero background are known. The reconstruction of the background
dependence is carried out by purely algebraic techniques and therefore can be
applied in a non-perturbative scheme (e.g. on the lattice or in the
Schwinger-Dyson approach), provided that the latter preserves the ST identity.
The field-antifield redefinition, which replaces the classical
background-quantum splitting when quantum corrections are taken into account,
is considered on the example of an instanton background in SU(2) Yang-Mills
theory.

24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex