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摘要
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We construct off-shell recursion relations for arbitrary loop-level scattering amplitudes beyond the conventional tree-level recursion relations for phi(4)-theory and the Yang-Mills theory. We define a quantum perturbiner expansion that includes loop corrections from the quantum effective action formalism by identifying the external source. Our method clearly shows how the perturbiner expansion becomes an off-shell current generating function. Instead of using the classical equations of motion in the conventional perturbiner method, we exploit the Dyson-Schwinger equation to derive the quantum off-shell recursion relation to arbitrary order of loop-level scattering amplitudes. We solve the recursion relation and reproduce the results which agree up to one-loop six-point scattering amplitudes for phi(4)-theory. Furthermore, we construct the recursions for computing loop-level correlation functions by replacing the choice of the external source.
Keyword:
Scattering Amplitudes
Gauge Symmetry
期刊
IF:
5.5
论文数:
3.9W
被引数:
13.7W
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