Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Relationship between Yang-Mills Theory and Gravity and its
  Implication for Ultraviolet Divergences   String theory implies that field theories containing gravity are in a certain
sense `products' of gauge theories. We make this product structure explicit up
to two loops for the relatively simple case of N=8 supergravity four-point
amplitudes, demonstrating that they are `squares' of N=4 super-Yang-Mills
amplitudes. This is accomplished by obtaining an explicit expression for the
$D$-dimensional two-loop contribution to the four-particle S-matrix for N=8
supergravity, which we compare to the corresponding N=4 Yang-Mills result. From
these expressions we also obtain the two-loop ultraviolet divergences in
dimensions D=7 through D=11. The analysis relies on the unitarity cuts of the
two theories, many of which can be recycled from a one-loop computation. The
two-particle cuts, which may be iterated to all loop orders, suggest that
squaring relations between the two theories exist at any loop order. The
loop-momentum power-counting implied by our two-particle cut analysis indicates
that in four dimensions the first four-point divergence in N=8 supergravity
should appear at five loops, contrary to the earlier expectation, based on
superspace arguments, of a three-loop counterterm.

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The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: hep-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: math
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg