Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Renormalised CFT 3-point functions of scalars, currents and stress
  tensors   We discuss the renormalisation of mixed 3-point functions involving tensorial
and scalar operators in conformal field theories of general dimension. In
previous work we analysed correlators of either purely scalar or purely
tensorial operators, in each case finding new features and new complications:
for scalar correlators, renormalisation leads to beta functions, novel
conformal anomalies of type B, and unexpected analytic structure in momentum
space; for correlators of stress tensors and/or conserved currents, beta
functions vanish but anomalies of both type B and type A (associated with a
$0/0$ structure) are present. Mixed correlators combine all these features:
beta functions and anomalies of type B, plus the possibility of new type A
anomalies. Following a non-perturbative and general momentum-space analysis, we
present explicit results in dimensions $d=3,4$ for all renormalised 3-point
functions of stress tensors, conserved currents and scalars of dimensions
$\Delta=d$ and $\Delta=d-2$. We identify all anomalies and beta functions, and
explain the form of the anomalous conformal Ward identities. In $d=3$, we find
a $0/0$ structure but the corresponding type A anomaly turns out to be trivial.
In addition, the correlators of two currents and a scalar, and of two stress
tensors and a scalar, both feature universal tensor structures that are
independent of the scalar dimension and vanish for opposite helicities.

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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
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The categories of this paper are: quant-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: cs
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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: hep-lat
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The categories of this paper are: nlin
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The categories of this paper are: hep-ex