Systematics of one-loop Yang-Mills diagrams from bosonic string amplitudes

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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37 pages, LaTeX. Revised version: 4 added references, some minor changes

Scientific paper

10.1016/S0550-3213(01)00187-0

We present a general algorithm to compute off-shell, one-loop multigluon Green functions using bosonic string amplitudes. We identify and parametrize the regions in the space of moduli of one-loop Riemann surfaces that contribute to the field theory limit of string amplitudes. Each of these regions can be precisely associated with a Feynman-like scalar graph with cubic and quartic vertices, whose lines represent the joint propagation of ghosts and gluons. We give a procedure to compute the contribution of each graph to a gluon Green function, for arbitrarily polarized off-shell gluons, reducible and irreducible diagrams, planar and non-planar topologies. Explicit examples are given for up to six gluons.

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