Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantization in the Presence of Gribov Ambiguities   The non-perturbative validity of covariant BRST-quantization of gauge
theories on compact Euclidean space-time manifolds is reviewed.
BRST-quantization is related to the construction of a Topological Quantum Field
Theory (TQFT) of Witten type on the gauge group. The criterion for the
non-perturbative validity of the quantization is that the partition function of
the corresponding TQFT does not vanish and that its (equivariant) BRST-algebra
is free of anomalies. I sketch the construction of a TQFT whose partition
function is proportional to the generalized Euler-characteristic of the coset
space $SU(n)_{gauge}/SU(n)_{global}$ with an associated equivariant
BRST-algebra that manifestly preserves translational symmetry. Some
non-perturbative consequences of this approach are discussed.

32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin