Disk relations for tree amplitudes in minimal coupling theory of gauge field and gravity

DOI10.1016/J.NUCLPHYSB.2010.02.024zbMATH Open1204.81139arXiv1001.0060OpenAlexW2028296508MaRDI QIDQ622696

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Publication date: 3 February 2011

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Abstract: KLT relations on

S_{2}

factorize closed string amplitudes into product of open string tree amplitudes. The field theory limits of KLT factorization relations hold in minimal coupling theory of gauge field and gravity. In this paper, we consider the field theory limits of relations on

D_{2}

. Though the relations on

D_{2}

and KLT factorization relations hold on worldsheets with different topologies, we find the field theory limits of

D_{2}

relations also hold in minimal coupling theory of gauge field and gravity. We use the

D_{2}

relations to give three- and four-point tree amplitudes where gluons are minimally coupled to gravitons. We also give a discussion on general tree amplitudes for minimal coupling of gauge field and gravity. In general, any tree amplitude with

M

gravitons in addition to

N

gluons can be given by pure-gluon tree amplitudes with

N + 2 M

legs.

Full work available at URL: https://arxiv.org/abs/1001.0060

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