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Quantum effective actions from nonperturbative worldline dynamics

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arxiv hep-th/0505275 v1 pith:RBRFR5IO submitted 2005-05-31 hep-th hep-ph

Quantum effective actions from nonperturbative worldline dynamics

classification hep-th hep-ph
keywords nonperturbativefieldquantumtheoryworldlineeffectivenumericalaction
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We demonstrate the feasibility of a nonperturbative analysis of quantum field theory in the worldline formalism with the help of an efficient numerical algorithm. In particular, we compute the effective action for a super-renormalizable field theory with cubic scalar interaction in four dimensions in quenched approximation (small-$N_f$ expansion) to all orders in the coupling. We observe that nonperturbative effects exert a strong influence on the infrared behavior, rendering the massless limit well defined in contrast to the perturbative expectation. Our numerical method is based on a direct use of probability distributions for worldline ensembles, preserves all Euclidean spacetime symmetries, and thus represents a new nonperturbative tool for an investigation of continuum quantum field theory.

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Cited by 1 Pith paper

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  1. Worldline Images for Yang-Mills Theory within Boundaries

    hep-th 2026-04 unverdicted novelty 7.0

    A worldline image method is developed for the Yang-Mills effective action with boundaries, checked via the first three Seeley-DeWitt coefficients and applied to chromoelectric gluon production.