Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Covariant algebraic calculation of the one-loop effective potential in
  non-Abelian gauge theory and a new approach to stability problem   We use our recently proposed algebraic approach for calculating the heat
kernel associated with the Laplace operator to calculate the one-loop effective
action in the non-Abelian gauge theory. We consider the most general case of
arbitrary space-time dimension, arbitrary compact simple gauge group and
arbitrary matter and assume a covariantly constant gauge field strength of the
most general form, having many independent color and space-time invariants
(Savvidy type chromomagnetic vacuum) and covariantly constant scalar fields as
a background. The explicit formulas for all the needed heat kernels and
zeta-functions are obtained. We propose a new method to study the vacuum
stability and show that the background field configurations with covariantly
constant chromomagnetic fields can be stable only in the case when more than
one independent field invariants are present and the values of these invariants
differ not greatly from each other. The role of space-time dimension is
analyzed in this connection and it is shown that this is possible only in
space-times with dimensions not less than five $d\geq 5$.

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The categories of this paper are: cond-mat
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The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
2
The categories of this paper are: math
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
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The categories of this paper are: nlin
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The categories of this paper are: physics
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The categories of this paper are: cs
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The categories of this paper are: hep-lat