Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Single-scale Renormalisation Group Improvement of Multi-scale Effective
  Potentials   We present a new method for renormalisation group improvement of the
effective potential of a quantum field theory with an arbitrary number of
scalar fields. The method amounts to solving the renormalisation group equation
for the effective potential with the boundary conditions chosen on the
hypersurface where quantum corrections vanish. This hypersurface is defined
through a suitable choice of a field-dependent value for the renormalisation
scale. The method can be applied to any order in perturbation theory and it is
a generalisation of the standard procedure valid for the one-field case. In our
method, however, the choice of the renormalisation scale does not eliminate
individual logarithmic terms but rather the entire loop corrections to the
effective potential. It allows us to evaluate the improved effective potential
for arbitrary values of the scalar fields using the tree-level potential with
running coupling constants as long as they remain perturbative. This opens the
possibility of studying various applications which require an analysis of
multi-field effective potentials across different energy scales. In particular,
the issue of stability of the scalar potential can be easily studied beyond
tree level.

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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
1
The categories of this paper are: cs
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The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio