Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the logarithmic behaviour in N=4 SYM theory   We show that the logarithmic behaviour seen in perturbative and non
perturbative contributions to Green functions of gauge-invariant composite
operators in N=4 SYM with SU(N) gauge group can be consistently interpreted in
terms of anomalous dimensions of unprotected operators in long multiplets of
the superconformal group SU(2,2|4). In order to illustrate the point we analyse
the short-distance behaviour of a particularly simple four-point Green function
of the lowest scalar components of the N=4 supercurrent multiplet. Assuming the
validity of the Operator Product Expansion, we are able to reproduce the known
value of the one-loop anomalous dimension of the single-trace operators in the
Konishi supermultiplet. We also show that it does not receive any
non-perturbative contribution from the one-instanton sector. We briefly comment
on double- and multi-trace operators and on the bearing of our results on the
AdS/SCFT correspondence.

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The categories of this paper are: alg-geom
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The categories of this paper are: astro-ph
3
The categories of this paper are: physics
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The categories of this paper are: econ
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The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
1
The categories of this paper are: cs
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: math-ph