Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Renormalization group analysis of the singularity structure of effective
  potentials   Using the renormalization group techniques it was previously shown that the
perturbative effective potential in the $\mathcal{O}(N)$ symmetric $\phi^4$
theory, massless scalar electrodynamics as well as in the conformal limit of
the standard model can be uniquely determined in terms of the known MS scheme
renormalization group functions. Furthermore, re-summation of the leading order
corrections plus portions of these higher order contributions to the effective
potential in the $\mathcal{O}(N)$ symmetric $\phi^4$ theory shows a peculiar
shift in the usual "Landau singularity" apparent in the individual leading
order corrections. In this work, we have further investigated this shift by
extending the result for theories having multiple couplings. We have shown that
the singularity structure of the effective potential as seen by summing up
portions of the $V_{N^{P+n}LL}$ for any finite $P$ is altered as expected when
these perturbative contributions are summed to all orders but more
significantly we found that this shift in the singularity is completely
determined by the one and two loop beta functions only. We argue that this is a
general result which applies to the conformally invariant standard model.

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The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin