A worldline representation of the QCD quark determinant is used to write a quantum circuit that computes F2 in a small-x dipole model, with a road map for generalizing to real-time DIS.
On the Yang-Mills two-loop effective action with wordline methods
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abstract
We derive the two-loop effective action for covariantly constant field strength of pure Yang-Mills theory in the presence of an infrared scale. The computation is done in the framework of the worldline formalism, based on a generalization procedure of constructing multiloop effective actions in terms of the bosonic worldline path integral. The two-loop beta-function is correctly reproduced. This is the first derivation in the worldline formulation, and serves as a nontrivial check on the consistency of the multiloop generalization procedure in the worldline formalism.
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Deeply inelastic scattering structure functions on a hybrid quantum computer
A worldline representation of the QCD quark determinant is used to write a quantum circuit that computes F2 in a small-x dipole model, with a road map for generalizing to real-time DIS.